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Question

যদি f(x) =

x^{2}

হয়, f(a + b) + f(a – b) এর মান কত?

a^{2} + b^{2}

a^{2} - b^{2}

2 a^{2} + 2 b^{2}

2 a^{2} - 2 b^{2}

ANSWER : 3

Descrption

দেয়া আছে, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo> = </mo><msup><mi>x</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>f</mi><mo>(</mo><mi>a</mi><mo>  +  </mo><mi>b</mi><mo>)</mo><mo> = </mo><mo>(</mo><mi>a</mi><mo>  +  </mo><mi>b</mi><msup><mo>)</mo><mn>2</mn></msup><mo> = </mo><msup><mi>a</mi><mn>2</mn></msup><mo>  +  </mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>  +  </mo><msup><mi>b</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mi>f</mi><mo>(</mo><mi>a</mi><mo> - </mo><mi>b</mi><mo>)</mo><mo> = </mo><mo>(</mo><mi>a</mi><mo> - </mo><mi>b</mi><msup><mo>)</mo><mn>2</mn></msup><mo> = </mo><msup><mi>a</mi><mn>2</mn></msup><mo> - </mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>  +  </mo><msup><mi>b</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mi>f</mi><mo>(</mo><mi>a</mi><mo>  +  </mo><mi>b</mi><mo>)</mo><mo>  +  </mo><mi>f</mi><mo>(</mo><mi>a</mi><mo> - </mo><mi>b</mi><mo>)</mo><mspace linebreak = "newline"/><mo> = </mo><msup><mi>a</mi><mn>2</mn></msup><mo>  +  </mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>  +  </mo><msup><mi>b</mi><mn>2</mn></msup><mo>  +  </mo><msup><mi>a</mi><mn>2</mn></msup><mo> - </mo><mn>2</mn><mi>a</mi><mi>b</mi><mo>  +  </mo><msup><mi>b</mi><mn>2</mn></msup><mspace linebreak = "newline"/><mo> = </mo><mn>2</mn><msup><mi>a</mi><mn>2</mn></msup><mo>  +  </mo><mn>2</mn><msup><mi>b</mi><mn>2</mn></msup></math>

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