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}

1 - 36 x^{4}

x^{2} + 1 x + 1

- 12 + 48

3 a^{2} b^{4} c^{2} \cdot 4 a^{2} b^{3} c^{4}

+ 18 x^{2} - 3 x - 3