Barrett King
02/03/2024 · High School
47. \( (2 x-5)\left(x^{2}-x+1\right) \)
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Step-by-step Solution
Calculate or simplify the expression \( (2x-5)(x^2-x+1) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(2x-5\right)\left(x^{2}-x+1\right)\)
- step1: Apply the distributive property:
\(2x\times x^{2}-2x\times x+2x\times 1-5x^{2}-\left(-5x\right)-5\times 1\)
- step2: Multiply the terms:
\(2x^{3}-2x^{2}+2x-5x^{2}-\left(-5x\right)-5\)
- step3: Remove the parentheses:
\(2x^{3}-2x^{2}+2x-5x^{2}+5x-5\)
- step4: Subtract the terms:
\(2x^{3}-7x^{2}+7x-5\)
La expresión \( (2x-5)(x^{2}-x+1) \) se simplifica a \( 2x^{3}-7x^{2}+7x-5 \).
Quick Answer
\( 2x^{3}-7x^{2}+7x-5 \)
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