Dawson Horton
05/11/2023 · Senior High School
Multiply. \( \left(x^{2}+x+3\right)(x-3) \)
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Step-by-step Solution
Calculate or simplify the expression \( (x^2+x+3)*(x-3) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(x^{2}+x+3\right)\left(x-3\right)\)
- step1: Apply the distributive property:
\(x^{2}\times x-x^{2}\times 3+x\times x-x\times 3+3x-3\times 3\)
- step2: Multiply the terms:
\(x^{3}-3x^{2}+x^{2}-3x+3x-9\)
- step3: Add the terms:
\(x^{3}-2x^{2}-9\)
The result of multiplying \( \left(x^{2}+x+3\right)(x-3) \) is \( x^{3}-2x^{2}-9 \).
Quick Answer
\( x^{3}-2x^{2}-9 \)
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