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

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

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factor 9w^2-48wx+64x^2

factor

9 w^{2} - 48 w x + 64 x^{2}

(3 w - 8 x)^{2}

Solution steps

9 w^{2} - 48 w x + 64 x^{2}

Rewrite in the form of

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

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

64 x^{2} = (8 x)^{2}

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

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

Apply Perfect Square Formula:

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

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

= (3 w - 8 x)^{2}

3 x + 4 = 9 x - 8

2 x^{2} + 8 x = - 1

3 x^{2} - 19 x y + 20 y^{2}

\frac{5 - 4 2}{4 - 3 2}

erf (1)

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