What is factor a^2+12ab+36b^2 ?

The solution to factor a^2+12ab+36b^2 is (a+6b)^2

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factor a^2+12ab+36b^2

factor

a^{2} + 12 ab + 36 b^{2}

(a + 6 b)^{2}

Solution steps

a^{2} + 12 ab + 36 b^{2}

Rewrite in the form of

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

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

12 ab = 2 a \cdot 6 b

= a^{2} + 2 a \cdot 6 b + (6 b)^{2}

Apply Perfect Square Formula:

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

a^{2} + 2 a \cdot 6 b + (6 b)^{2} = (a + 6 b)^{2}

= (a + 6 b)^{2}

x^{2} (x^{4})

6 (2 a - 3 c) - 3 (1 + d)

(x^{2} + 2 x + 4)^{2}

8 8 x^{4} y^{5}

x^{23} y^{6} z^{7}

What is factor a^2+12ab+36b^2 ?
The solution to factor a^2+12ab+36b^2 is (a+6b)^2