The problem asks to find the product of $(8x-8)^2$.

AlgebraAlgebraic ExpansionQuadratic ExpressionsSimplification
2025/3/17

1. Problem Description

The problem asks to find the product of (8x8)2(8x-8)^2.

2. Solution Steps

We need to expand (8x8)2(8x-8)^2.
We can use the formula (ab)2=a22ab+b2(a-b)^2 = a^2 - 2ab + b^2.
In our case, a=8xa=8x and b=8b=8.
So we have:
(8x8)2=(8x)22(8x)(8)+(8)2(8x-8)^2 = (8x)^2 - 2(8x)(8) + (8)^2
(8x)2=64x2(8x)^2 = 64x^2
2(8x)(8)=128x2(8x)(8) = 128x
(8)2=64(8)^2 = 64
Therefore, (8x8)2=64x2128x+64(8x-8)^2 = 64x^2 - 128x + 64.

3. Final Answer

64x2128x+6464x^2 - 128x + 64

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