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The problem asks us to expand the expression $(x-7)(x+3)$.

AlgebraPolynomialsExpansionFOIL method
2025/4/27

1. Problem Description

The problem asks us to expand the expression (x−7)(x+3)(x-7)(x+3).

2. Solution Steps

We will expand the expression using the distributive property (also known as the FOIL method).
(x−7)(x+3)=x(x+3)−7(x+3)(x-7)(x+3) = x(x+3) - 7(x+3)
=x∗x+x∗3−7∗x−7∗3= x*x + x*3 - 7*x - 7*3
=x2+3x−7x−21= x^2 + 3x - 7x - 21
Combining like terms, 3x−7x=−4x3x - 7x = -4x.
Therefore, the expanded expression is x2−4x−21x^2 - 4x - 21.

3. Final Answer

x2−4x−21x^2 - 4x - 21

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