Simplify: $(2 x + 5) (2 x - 5)$ .

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Solution

Simplification of algebraic expression.
Use the identity $(a + b) (a - b) = a^{2} - b^{2}$ to simplify the given expression:
$\begin{array}{rcl} (2 x + 5) (2 x - 5) & = & {(2 x)}^{2} - {(5)}^{2} \\ = & 4 x^{2} - 25 \end{array}$
Hence, $(2 x + 5) (2 x - 5) = 4 x^{2} - 25$ .

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