find the indicated product. write the answer in standard form.\nx(x^{3}-x + 8)\nx(x^{3}-x +…

find the indicated product. write the answer in standard form.\nx(x^{3}-x + 8)\nx(x^{3}-x + 8)=\\square(simplify your answer.)

find the indicated product. write the answer in standard form.\nx(x^{3}-x + 8)\nx(x^{3}-x + 8)=\\square(simplify your answer.)

Answer

Explanation:

Step1: Apply distributive property

Multiply (x) by each term inside the parentheses: (x\times x^{3}-x\times x + x\times8)

Step2: Use exponent rule (a^m\times a^n=a^{m + n})

For (x\times x^{3}=x^{1+3}=x^{4}), (x\times x=x^{1 + 1}=x^{2}) The expression becomes (x^{4}-x^{2}+8x)

Answer:

(x^{4}-x^{2}+8x)