We need to expand the expression $(x+8)(x-1)$.

AlgebraPolynomial ExpansionFOIL MethodDistributive Property
2025/4/27

1. Problem Description

We need to expand the expression (x+8)(x1)(x+8)(x-1).

2. Solution Steps

We use the distributive property (also known as the FOIL method) to expand the expression:
(x+8)(x1)=x(x1)+8(x1)(x+8)(x-1) = x(x-1) + 8(x-1).
Now, distribute xx and 88:
x(x1)=x2xx(x-1) = x^2 - x
8(x1)=8x88(x-1) = 8x - 8
So, we have:
(x+8)(x1)=x2x+8x8(x+8)(x-1) = x^2 - x + 8x - 8
Combine like terms:
x+8x=7x-x + 8x = 7x
Therefore,
(x+8)(x1)=x2+7x8(x+8)(x-1) = x^2 + 7x - 8

3. Final Answer

x2+7x8x^2 + 7x - 8

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