Factorise:
$(25 x^{2} - 16 y^{2})$

(5 x + 4 y) (5 x - 4 y)

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(4 x + 5 y) (5 x - 4 y)

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(5 x + 4 y) (4 x - 5 y)

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None of these

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Solution

The correct option is A $(5 x + 4 y) (5 x - 4 y)$
Given, $(25 x^{2} - 16 y^{2}) = [(5 x)^{2} - (4 x)^{2}]$
Since, $a^{2} - b^{2} = (a + b) (a - b)$
$\Rightarrow [(5 x)^{2} - (4 x)^{2}] = (5 x + 4 x) (5 x - 4 x)$
$\Rightarrow$ Option A is correct.

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Similar questions

25 x^{2} - 16 y^{2}

Evaluate: (5x + 4y) (5x – 4y)

If $\frac{3 x - 4 y}{2 x - 3 y} = \frac{5 x - 6 y}{4 x - 5 y}$ , find x : y.

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