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

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

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factor 9u^2-48u+64

factor

9 u^{2} - 48 u + 64

(3 u - 8)^{2}

Solution steps

9 u^{2} - 48 u + 64

Rewrite in the form of

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

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

64 = 8^{2}

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

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

Apply Perfect Square Formula:

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

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

= (3 u - 8)^{2}

\frac{9}{12} \cdot \frac{8}{11}

2 r^{2} + 26 r + 72

f = 2^{2} - 2 - 2

- \frac{5 c ^{2} d ^{5}}{8 c d ^{5} f ^{0}}

3 x^{2} - 7 x + 6 < 0