Question

5.5 multiplying polyn
(1 point)
multiply
5x(x² + 6x - 8) =
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Explanation:

Step1: Use distributive property

Multiply \(5x\) with each term inside the parentheses: \(5x\times x^{2}+5x\times6x - 5x\times8\)

Step2: Apply exponent rules and multiplication

For \(5x\times x^{2}\), using \(a^{m}\times a^{n}=a^{m + n}\), we get \(5x^{1+2}=5x^{3}\). For \(5x\times6x=(5\times6)x^{1 + 1}=30x^{2}\). For \(5x\times8 = 40x\). So the expression becomes \(5x^{3}+30x^{2}-40x\)

Answer:

\(5x^{3}+30x^{2}-40x\)