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Evaluate each of the following using identities:$(2x + y) (2x - y)$
Given:
$(2x + y) (2x - y)$
To do:
We have to evaluate the given expression using a suitable identity.
Solution:
We know that,
$(a+b)^2=a^2+b^2+2ab$
$(a-b)^2=a^2+b^2-2ab$
$(a+b)(a-b)=a^2-b^2$
Therefore,
$(2 x+y)(2 x-y)=(2 x)^{2}-(y)^{2}$
$=4 x^{2}-y^{2}$
Hence, $(2 x+y)(2 x-y)=4 x^{2}-y^{2}$.
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