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Addition and Subtraction of Algebraic Expression

Simplify. 2x+...

Question

Simplify. $(2 x + 5)^{2} - (2 x - 5)^{2}$ ?

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Solution

Using formula
$\begin{array}{l} (2 x + 5)^{2} - (2 x - 5)^{2} = 2 x^{2} + 2 (2 x) (5) + 5^{2} - 2 x^{2} + 2 (2 x) (5) - 5^{2} \end{array}$
$= 0 + 40 x + 0 = 40 x$
$∴ (2 x + 5)^{2} - (2 x - 5)^{2} = 40 x$

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