Cole Tyler
08/27/2023 · Elementary School
Multiply the monomial and the polynomial. \( 5 x^{3}\left(9 x^{2}-8 x+3\right) \) \( 5 x^{3}\left(9 x^{2}-8 x+3\right)=\square \)
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Step-by-step Solution
Calculate or simplify the expression \( 5*x^3*(9*x^2-8*x+3) \).
Simplify the expression by following steps:
- step0: Solution:
\(5x^{3}\left(9x^{2}-8x+3\right)\)
- step1: Rewrite the expression:
\(5\left(9x^{2}-8x+3\right)x^{3}\)
- step2: Rearrange the terms:
\(\left(9x^{2}-8x+3\right)\times 5x^{3}\)
- step3: Apply the distributive property:
\(9x^{2}\times 5x^{3}-8x\times 5x^{3}+3\times 5x^{3}\)
- step4: Multiply the terms:
\(45x^{5}-40x^{4}+15x^{3}\)
The result of multiplying the monomial \(5x^3\) and the polynomial \(9x^2 - 8x + 3\) is \(45x^5 - 40x^4 + 15x^3\).
Quick Answer
\( 45x^5 - 40x^4 + 15x^3 \)
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