What is factor 25x^2+70xy+49y^2 ?

The solution to factor 25x^2+70xy+49y^2 is (5x+7y)^2

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

factor

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

(5 x + 7 y)^{2}

Solution steps

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

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

25 x^{2} = (5 x)^{2}

49 y^{2} = (7 y)^{2}

70 x y = 2 \cdot 5 x \cdot 7 y

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

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

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

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

4 x^{2} + 4 x - 24 = 0

\frac{1}{- 0.5}

3 (2 x - 5) = 9 (10 - x)

\frac{4}{3} \cdot 1

2 x^{3} x^{3}

What is factor 25x^2+70xy+49y^2 ?
The solution to factor 25x^2+70xy+49y^2 is (5x+7y)^2