What is factor 25x^2+60x+36 ?

The solution to factor 25x^2+60x+36 is (5x+6)^2

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factor 25x^2+60x+36

factor

25 x^{2} + 60 x + 36

(5 x + 6)^{2}

Solution steps

25 x^{2} + 60 x + 36

Rewrite in the form of

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

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

36 = 6^{2}

60 x = 2 \cdot 5 x \cdot 6

= (5 x)^{2} + 2 \cdot 5 x \cdot 6 + 6^{2}

Apply Perfect Square Formula:

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

(5 x)^{2} + 2 \cdot 5 x \cdot 6 + 6^{2} = (5 x + 6)^{2}

= (5 x + 6)^{2}

\frac{5 x - 7}{- 4} = - 7

\frac{7}{4} + 1

(5 z + 1)^{2} + 9 = 0

(2 y)^{\frac{1}{3}}

6 x^{2} + 16 x + 24