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

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

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factor 36x^2+60x+25

factor

36 x^{2} + 60 x + 25

(6 x + 5)^{2}

Solution steps

36 x^{2} + 60 x + 25

Rewrite in the form of

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

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

25 = 5^{2}

60 x = 2 \cdot 6 x \cdot 5

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

Apply Perfect Square Formula:

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

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

= (6 x + 5)^{2}

ab + 5 a + 3 b + 15

\frac{15 π}{4} - 2 π

\frac{3}{4} (8 j + 12) = \frac{1}{4} j + \frac{151}{4}

x^{2} < 4

248 - 75 - 12