Bài 5: Những Hằng Đẳng Thức Đáng Nhớ (Tiếp)
Hướng dẫn giải Bài 33 (Trang 16 SGK Toán Đại số 8, Tập 1)
<div class="box-item"> <div class="i-content content-fck"> <p>T&iacute;nh:</p> <p>a) (2 + xy)<sup>2</sup>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; b) (5 &ndash; 3x)<sup>2</sup></p> <p>c) (5 &ndash; x<sup>2</sup>)(5 + x<sup>2</sup>)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;&nbsp; d) (5x &ndash; 1)<sup>3</sup></p> <p>e) (2x &ndash; y)(4x<sup>2</sup>&nbsp;+ 2xy + y<sup>2</sup>)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; f) (x + 3)(x<sup>2</sup>&nbsp;&ndash; 3x + 9)</p> </div> </div> <div class="box-item"> <div class="item-answer"><strong>Giải:</strong></div> <div class="item-answer">a)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mo>(</mo><mn>2</mn><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mi>x</mi><mi>y</mi><mo>)</mo></mrow><mn>2</mn></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><msup><mn>2</mn><mrow><mn>2</mn></mrow></msup><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>.</mo><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>.</mo><mo>&#160;</mo><mi>x</mi><mi>y</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><msup><mrow><mo>(</mo><mi>x</mi><mi>y</mi><mo>)</mo></mrow><mn>2</mn></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>4</mn><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>4</mn><mi>x</mi><mi>y</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><msup><mi>x</mi><mn>2</mn></msup><msup><mi>y</mi><mn>2</mn></msup></math></div> <div class="item-answer">b)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mo>(</mo><mn>5</mn><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><mn>3</mn><mi>x</mi><mo>)</mo></mrow><mn>2</mn></msup><mo>=</mo><mo>&#160;</mo><msup><mn>5</mn><mrow><mn>2</mn></mrow></msup><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><mn>2</mn><mo>&#160;</mo><mo>.</mo><mo>&#160;</mo><mn>5</mn><mo>&#160;</mo><mo>.</mo><mo>&#160;</mo><mn>3</mn><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><msup><mrow><mo>(</mo><mn>3</mn><mi>x</mi><mo>)</mo></mrow><mn>2</mn></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>25</mn><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><mn>30</mn><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>9</mn><msup><mi>x</mi><mn>2</mn></msup></math></div> <div class="item-answer">c)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>5</mn><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>)</mo><mo>(</mo><mn>5</mn><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><msup><mi>x</mi><mn>2</mn></msup><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><msup><mn>5</mn><mn>2</mn></msup><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><msup><mrow><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>)</mo></mrow><mn>2</mn></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>25</mn><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><msup><mi>x</mi><mn>4</mn></msup></math></div> <div class="item-answer">d)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mo>(</mo><mn>5</mn><mi>x</mi><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><mn>1</mn><mo>)</mo></mrow><mn>3</mn></msup><mo>=</mo><mo>&#160;</mo><mo>(</mo><mn>5</mn><mi>x</mi><msup><mo>)</mo><mrow><mn>3</mn></mrow></msup><mo>&#8211;</mo><mn>3</mn><mo>.</mo><msup><mrow><mo>(</mo><mn>5</mn><mi>x</mi><mo>)</mo></mrow><mn>2</mn></msup><mo>.</mo><mn>1</mn><mo>+</mo><mn>3</mn><mo>.</mo><mn>5</mn><mi>x</mi><mo>.</mo><msup><mn>1</mn><mn>2</mn></msup><mo>&#8211;</mo><msup><mn>1</mn><mn>3</mn></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>125</mn><msup><mi>x</mi><mn>3</mn></msup><mo>&#8211;</mo><mn>75</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>15</mn><mi>x</mi><mo>&#8211;</mo><mn>1</mn></math>&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e</mi><mo>)</mo><mo>&#160;</mo><mo>(</mo><mn>2</mn><mi>x</mi><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><mi>y</mi><mo>)</mo><mo>(</mo><mn>4</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mi>y</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><msup><mi>y</mi><mn>2</mn></msup><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mn>2</mn><mi>x</mi><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><mi>y</mi><mo>)</mo><mo>[</mo><msup><mrow><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo></mrow><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi><mo>.</mo><mi>y</mi><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mo>]</mo><mo>&#160;</mo><mspace linebreak="newline"/><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>&#160;</mo><mo>=</mo><msup><mrow><mo>(</mo><mn>2</mn><mi>x</mi><mo>)</mo></mrow><mn>3</mn></msup><mo>&#8211;</mo><msup><mi>y</mi><mn>3</mn></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>8</mn><msup><mi>x</mi><mn>3</mn></msup><mo>&#160;</mo><mo>&#8211;</mo><mo>&#160;</mo><msup><mi>y</mi><mn>3</mn></msup></math></div> <div class="item-answer">f)&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>)</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>&#8211;</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>9</mn><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mo>(</mo><mi>x</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>3</mn><mo>)</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>&#8211;</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>32</mn><mo>)</mo><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><msup><mi>x</mi><mn>3</mn></msup><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><msup><mn>3</mn><mn>3</mn></msup><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><msup><mi>x</mi><mn>3</mn></msup><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mn>27</mn><mo>.</mo></math></div> </div>
Hướng dẫn Giải Bài 33 (Trang 16, SGK Toán 8, Tập 1)
GV: GV colearn
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Hướng dẫn Giải Bài 33 (Trang 16, SGK Toán 8, Tập 1)
GV: GV colearn