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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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