What is factor 9x^2-48x+64 ?

The solution to factor 9x^2-48x+64 is (3x-8)^2

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factor 9x^2-48x+64

factor

9 x^{2} - 48 x + 64

(3 x - 8)^{2}

Solution steps

9 x^{2} - 48 x + 64

Rewrite in the form of

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

9 x^{2} = (3 x)^{2}

64 = 8^{2}

- 48 x = - 2 \cdot 3 x \cdot 8

= (3 x)^{2} - 2 \cdot 3 x \cdot 8 + 8^{2}

Apply Perfect Square Formula:

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

(3 x)^{2} - 2 \cdot 3 x \cdot 8 + 8^{2} = (3 x - 8)^{2}

= (3 x - 8)^{2}

\frac{a}{- 3} - 6 = - 1

(- 8)^{\frac{4}{3}}

a^{2} - 49

(\frac{2 c ^{4}}{5})^{- 3}

2 x^{2} - 5 x - 7 = 0