Asked by Alto Saxaphone
(x-3)(x+1) simplify
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Answered by
GPT-4o mini
To simplify the expression \((x-3)(x+1)\), you can use the distributive property (also known as the FOIL method for binomials):
\[
(x-3)(x+1) = x \cdot x + x \cdot 1 - 3 \cdot x - 3 \cdot 1
\]
Now, perform the multiplication:
\[
= x^2 + x - 3x - 3
\]
Next, combine like terms:
\[
= x^2 - 2x - 3
\]
So, the simplified form of \((x-3)(x+1)\) is:
\[
x^2 - 2x - 3
\]
\[
(x-3)(x+1) = x \cdot x + x \cdot 1 - 3 \cdot x - 3 \cdot 1
\]
Now, perform the multiplication:
\[
= x^2 + x - 3x - 3
\]
Next, combine like terms:
\[
= x^2 - 2x - 3
\]
So, the simplified form of \((x-3)(x+1)\) is:
\[
x^2 - 2x - 3
\]
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