What is factor (x-y)^2-16(x-y)+64 ?

The solution to factor (x-y)^2-16(x-y)+64 is (x-y-8)^2

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factor (x-y)^2-16(x-y)+64

factor

(x - y)^{2} - 16 (x - y) + 64

(x - y - 8)^{2}

Solution steps

(x - y)^{2} - 16 (x - y) + 64

Rewrite

(x - y)^{2} - 16 (x - y) + 64

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

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

Apply Perfect Square Formula:

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

a = (x - y), b = 8

= ((x - y) - 8)^{2}

Refine

= (x - y - 8)^{2}

5 - 10 m

- 10 \leq 4 x + 12 \leq 8

(\frac{x ^{3} y ^{- 2}}{x ^{- 3} y ^{2}})^{- 2}

\frac{2}{\frac{π}{2}}

2 - 3 x > 0

What is factor (x-y)^2-16(x-y)+64 ?
The solution to factor (x-y)^2-16(x-y)+64 is (x-y-8)^2