Question

4. Simplify the following:(3x+7y)²-(3x-7y)²​

Answer 1

Answer:

${(3x + 7y)}^{2} - {(3x - 7y)}^{2} \\ = (3x + 7y + 3x - 7y)(3x + 7y - 3x + 7y) \\ = 6x(7y) = 42xy$

$formula \: used \\ {a}^{2} - {b}^{2} = (a + b)(a - b)$

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Answer 2

(3x+7y)²-(3x-7y)²

from the formula , a^2 -b^2 = (a+b)(a-b)

= (3x +7y + 3x -7y )(3x +7y –3x + 7y )

= 6x × 14y

= 84 xy.