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Expansion of (x^2 - y^2)

The product o...

Question

The product of $(5 x + 7 y) (5 x - 7 y)$ is $25 x^{2} - 49 y^{2}$ .If true enter 1 else 0.

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Solution

We need to find product of $(5 x + 7) (5 x - 7 y)$
By using identity $(a + b) (a - b) = a^{2} - b^{2}$
We have $a = 5 x, b = 7 y$
Thus $(5 x + 7 y) (5 x - 7 y) = (5 x)^{2} - (7 y)^{2}$
$= 25 x^{2} - 49 y^{2}$

Hence the answer is $1$

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