Expand:$ (a^2-b^2)^2$

Given: $(a^{2}-b^{2})^{2}$

To find: EWe have to expand the expression.

Solution:

Using the identity $(x - y)^{2} = x^{2} - 2xy + y^{2}$

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

= $a^{4} -2a^{2}b^{2} +  b^{4} $

So, the expansion of  $(a^{2}-b^{2})^{2}$ is   $a^{4} -2a^{2}b^{2} +  b^{4} $

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Updated on: 10-Oct-2022

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