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

10 x

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4 x

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59 x

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40 x

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Solution

The correct option is D. $40 x$
$(2 x + 5)^{2} - (2 x - 5)^{2}$
$= (2 x + 5 + 2 x - 5) (2 x + 5 - (2 x - 5))$ [ $∵ a^{2} - b^{2} = (a + b) (a - b)$ ]
$= (4 x) (2 x + 5 - 2 x + 5)$
$= (4 x) (10)$
$= 40 x$
$(2 x + 5)^{2} - (2 x - 5)^{2} = 40 x$

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Similar questions

Question 4(ii)
Simplify:
$(2 x + 5)^{2} - (2 x - 5)^{2}$

Evaluate $(2 x + 5)^{2} - (2 x - 5)^{2}$

(2 x + 5)^{2} - (2 x - 5)^{2}

Question 4(ii)
Simplify:
$(2 x + 5)^{2} - (2 x - 5)^{2}$

(2 x + 5)^{2} - 20 x = (2 x - 5)^{2}

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