We are asked to simplify the expression $x(x+5) - 2(x+5)$.

AlgebraPolynomialsFactoringSimplificationExpanding
2025/4/14

1. Problem Description

We are asked to simplify the expression x(x+5)2(x+5)x(x+5) - 2(x+5).

2. Solution Steps

We can factor out the common term (x+5)(x+5) from both parts of the expression:
x(x+5)2(x+5)=(x2)(x+5)x(x+5) - 2(x+5) = (x-2)(x+5)
Now, we can expand the expression by using the distributive property:
(x2)(x+5)=x(x+5)2(x+5)=x2+5x2x10(x-2)(x+5) = x(x+5) - 2(x+5) = x^2 + 5x - 2x - 10
Combine like terms:
x2+5x2x10=x2+3x10x^2 + 5x - 2x - 10 = x^2 + 3x - 10

3. Final Answer

x2+3x10x^2 + 3x - 10

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