<span data-v-a7c68f28="">Hướng dẫn giải Bài 2 (Trang 5 SGK Toán Đại số 8, Tập 1)</span>
<p>Thực hiện phép nhân, rút gọn rồi tính giá trị của biểu thức:</p>
<p><strong><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mi>x</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mi>y</mi></mrow></mfenced><mo>+</mo><mi>y</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow></mfenced><mo> </mo><mi>t</mi><mi>ạ</mi><mi>i</mi><mo> </mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>6</mn><mo> </mo><mi>v</mi><mi>à</mi><mo> </mo><mi>y</mi><mo>=</mo><mn>8</mn><mo>;</mo></math></strong></p>
<p><strong><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>)</mo><mo> </mo><mi>x</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>y</mi></mrow></mfenced><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mfenced><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow></mfenced><mo>+</mo><mi>y</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi></mrow></mfenced><mo> </mo><mi>t</mi><mi>ạ</mi><mi>i</mi><mo> </mo><mi>x</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo> </mo><mi>v</mi><mi>à</mi><mo> </mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>100</mn></math></strong></p>
<p><strong>Giải:</strong></p>
<p><strong><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>)</mo><mo> </mo><mi>x</mi><mfenced><mrow><mi>x</mi><mo>-</mo><mi>y</mi></mrow></mfenced><mo>+</mo><mi>y</mi><mfenced><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow></mfenced><mspace linebreak="newline"/><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi><mi>y</mi><mo>+</mo><mi>y</mi><mi>x</mi><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup><mspace linebreak="newline"/><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup></math></strong></p>
<p>Với x = -6, y = 8 biểu thức có giá trị là <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mfenced><mrow><mo>-</mo><mn>6</mn></mrow></mfenced><mn>2</mn></msup><mo>+</mo><msup><mn>8</mn><mn>2</mn></msup><mo>=</mo><mn>36</mn><mo>+</mo><mn>64</mn><mo>=</mo><mn>100</mn></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>)</mo><mo> </mo><mi>x</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>y</mi></mrow></mfenced><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mfenced><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow></mfenced><mo>+</mo><mi>y</mi><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>x</mi></mrow></mfenced><mspace linebreak="newline"/><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mi>x</mi><mi>y</mi><mo>-</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mi>y</mi><mo>+</mo><mi>y</mi><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mi>y</mi><mi>x</mi><mspace linebreak="newline"/><mo>=</mo><mo>-</mo><mn>2</mn><mi>x</mi><mi>y</mi></math></p>
<p>Với x = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math>, y = -100 biểu thức có giá trị là <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn><mo>.</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>.</mo><mfenced><mrow><mo>-</mo><mn>100</mn></mrow></mfenced><mo>=</mo><mn>100</mn></math></p>