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    What is the value of (a + b)² – (a – b) ²?
    Question

    What is the value of (a + b)² – (a – b) ²?

    A.

    2(a² + b²)

    B.

    4(a² + b²)

    C.

    8ab

    D.

    4ab

    Correct option is D

    Given:

    (a+b)2(ab)2(a + b)^2 - (a - b)^2​​

    Formula used:

    (a+b)2=a2+2ab+b2(ab)2=a22ab+b2(a + b)^2 = a^2 + 2ab + b^2(a – b)^2 = a^2 – 2ab + b^2​​

    Solution:

    (a+b)2(ab)2 =>(a2+2ab+b2)(a22ab+b2)=>4ab(a + b)^2 - (a - b)^2 \\\ \\^=> (a^2 + 2ab + b^2) - (a^2 – 2ab + b^2)=> 4ab​​

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