Simplified Expansion of (x+1)(x-7) – Distributive Property Explained

(x+1)(x-7)

To expand the expression (x+1)(x-7), you can use the distributive property

To expand the expression (x+1)(x-7), you can use the distributive property.

First, distribute the x+1 to x and -7:
(x+1)(x-7) = x(x-7) + 1(x-7)

Multiply each term inside the parentheses by x:
= x^2 – 7x + 1(x-7)

Now, distribute the 1 to x and -7:
= x^2 – 7x + x – 7

Combine like terms:
= x^2 – 6x – 7

So, the expanded form of (x+1)(x-7) is x^2 – 6x – 7.

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