What is factor 25x^2+80x+64 ?

The solution to factor 25x^2+80x+64 is (5x+8)^2

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factor 25x^2+80x+64

factor

25 x^{2} + 80 x + 64

(5 x + 8)^{2}

Solution steps

25 x^{2} + 80 x + 64

Rewrite in the form of

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

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

64 = 8^{2}

80 x = 2 \cdot 5 x \cdot 8

= (5 x)^{2} + 2 \cdot 5 x \cdot 8 + 8^{2}

Apply Perfect Square Formula:

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

(5 x)^{2} + 2 \cdot 5 x \cdot 8 + 8^{2} = (5 x + 8)^{2}

= (5 x + 8)^{2}

(2 x - 4) (x + 1)

\frac{1}{f ( x )}

(5 a - b) (5 a + b)

4 + 3

3 (3 x)^{2}