Question

find the product of (x+7y) and (x-7y) ​

Answer 1

$\huge\underline\mathrm\red{Answer}$

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

$a = x \\ b = 7y$

$(x + 7y)(x - 7y) \\ {x}^{2} - {(7y)}^{2}$

$\ {x}^{2} - {49y}^{2}$

Answer 2

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• x² - 49y²

$\boxed{\fcolorbox{aqua}{sg}{\blue{Explanation -}}}$

(x + 7y)(x - 7y) is is the form (a + b)(a - b)

We know that (a + b)(a - b) = a² - b²

Therefore, a can be replaced by x and b can be replaced by 7y

Therefore, (x + 7y)(x - 7y) = (x)² - (7y)² = x² - 49y²

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