What is factor x^2+14xy+49y^2 ?

The solution to factor x^2+14xy+49y^2 is (x+7y)^2

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factor x^2+14xy+49y^2

factor

x^{2} + 14 x y + 49 y^{2}

(x + 7 y)^{2}

Solution steps

x^{2} + 14 x y + 49 y^{2}

Rewrite in the form of

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

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

14 x y = 2 x \cdot 7 y

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

Apply Perfect Square Formula:

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

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

= (x + 7 y)^{2}

2 = \frac{3 x + 14}{4}

x^{\frac{3}{2}} \cdot (x - \frac{1}{x})

x^{2} + x y - 20 y^{2}

5 x^{2} + 9 x = - 4

x^{2} - 7 x - 30

What is factor x^2+14xy+49y^2 ?
The solution to factor x^2+14xy+49y^2 is (x+7y)^2