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x + y = 4 এবং xy = 3 হলে, 8xy এর মান কত?

ANSWER : 3

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দেওয়া আছে,
x  +  y = 4  এবং x - y = 3
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo><mo>&#xA0;</mo><mn>8</mn><mi>x</mi><mi>y</mi><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>8</mn><mfenced open = "{" close = "}"><mrow><mo>(</mo><mfrac><mrow><mi>x</mi><mo>  +  </mo><mi>y</mi></mrow><mn>2</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup><mo> - </mo><mo>(</mo><mfrac><mrow><mi>x</mi><mo> - </mo><mi>y</mi></mrow><mn>2</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup></mrow></mfenced><mspace linebreak = "newline"/><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>8</mn><mo>{</mo><mo>(</mo><mfrac><mn>4</mn><mn>2</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup><mo> - </mo><mo>(</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><msup><mo>)</mo><mn>2</mn></msup><mo>}</mo><mspace linebreak = "newline"/><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo> = </mo><mo>{</mo><mfrac><mn>16</mn><mn>4</mn></mfrac><mo> - </mo><mfrac><mn>9</mn><mn>4</mn></mfrac><mo>}</mo><mspace linebreak = "newline"/><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo> = </mo><mn>8</mn><mo>&#xD7;</mo><mfrac><mn>7</mn><mn>4</mn></mfrac><mspace linebreak = "newline"/><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo> = </mo><mn>14</mn></math>

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