Consider the given expression, #10; #10; ( a^2 b^2)^2=? #10; #10;We know that, #10; #10; ( A B )^2=A^2+B^2 2AB #10; #10;Put, A=a^ ...

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Algebraic Identities

a2-b22=?

Question

$(a^{2} - b^{2})^{2} = ?$

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Solution

Consider the given expression,

${(a^{2} - b^{2})}^{2} = ?$

We know that,

${(A - B)}^{2} = A^{2} + B^{2} - 2 A B$

Put, $A = a^{2}, B = b^{2}$ , we get

${(a^{2} - b^{2})}^{2} = a^{4} + b^{4} - 2 a^{2} b^{2}$

Hence, this is the answer.

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