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Polynomial Expressions

Evaluate 2x +...

Question

Evaluate $(2 x + y) (2 x - y)$ Using Identities

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Solution

Given Expression
$(2 x + y) (2 x - y)$
We know that
$(a + b) (a - b) = a^{2} - b^{2}$
$\Rightarrow (2 x + y) (2 x - y) = {(2 x)}^{2} - {(y)}^{2} = 4 x^{2} - y^{2}$
Hence the result is $4 x^{2} - y^{2}$

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Similar questions

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{(2 x - \frac{1}{x})}^{2}

(ii) (2x + y) (2x − y)

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Q. Draw and prove the identity:

(2 x + y) (2 x - y) = (2 x)^{2} - y^{2}

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(2 x + y) (2 x - y) = (2 x)^{2} - y^{2}

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