What is factor 36x^2+84xy+49y^2 ?

The solution to factor 36x^2+84xy+49y^2 is (6x+7y)^2

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factor 36x^2+84xy+49y^2

factor

36 x^{2} + 84 x y + 49 y^{2}

(6 x + 7 y)^{2}

Solution steps

36 x^{2} + 84 x y + 49 y^{2}

Rewrite in the form of

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

36 x^{2} = (6 x)^{2}

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

84 x y = 2 \cdot 6 x \cdot 7 y

= (6 x)^{2} + 2 \cdot 6 x \cdot 7 y + (7 y)^{2}

Apply Perfect Square Formula:

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

(6 x)^{2} + 2 \cdot 6 x \cdot 7 y + (7 y)^{2} = (6 x + 7 y)^{2}

= (6 x + 7 y)^{2}

3 < 2 x - 1 \leq 9

10 0^{\frac{3}{2}}

1 + \frac{5}{6}

v^{2} - 7 v - 8

\frac{a p + 4 p - 2 a - 8}{2 p ^{2} - 8}

What is factor 36x^2+84xy+49y^2 ?
The solution to factor 36x^2+84xy+49y^2 is (6x+7y)^2