Question

factorise 25 X square+ 70 xy + 49 y square​

Answer 1

The factors are (5x + 7y)².

Step-by-step explanation:

The expression is:

$25x^{2}+70xy+49y^{2}$

Factorize the expression by square method as follows:

$25x^{2}+70xy+49y^{2}=(5x)^{2}+(2\times 5x\times 7y)+(7y)^{2}$

                              $=(5x+7y)^{2}$

Thus, the factors are (5x + 7y)².

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Answer 2

Step-by-step explanation:

25x^2 +70xy +49y^2

=(5x)^2 + 2*5x*7y + (7y)^2

(by using (a+b)^2= a^2 + b^2 + 2ab)

= (5x + 7y)^2

= (5x +7y) (5x+7y).

Hope it helps you......