Question

100x² – 49y² factories​

Answer 1

$(10x) ^{2} - (7y) ^{2}$

$(10x + 7y)(10x - 7y)$

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Answer 2

Answer:

(10x +7y ) (10x- y)

Explanation:

Rewrite 100 x^2 as (10x)^2

(10x )^2 - 49y ^2

Rewrite 49 y^2 as (7y)^2

(10x)^2 -(7y)^2

since both terms are perfect squares ,factors using the difference of squares formula.

a^2 -b^2 = (a+b) (a-b)

where a = 10x

and b= 7y

multiply 7 by -1

(10x+7y) (10x-7y)

I hope it will help you