Question

Given the expression: 5x10 − 80x2Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)Part B:Factor the entire expression completely. Show the steps of your work. (6 points)

Answer 1

Answer: Provided the expression, we have to solve the two parts of the question related to the expression:

`5x^(10)-80x^2\Rightarrow(1)`

(A) Rewriting the expression by factoring out the greatest common factor:

`\begin{gathered} 5x^(10)-80x^2=5* x^2* x^8-5*16* x^2 \\ \\ \text{ GCF }\Rightarrow5x^2 \\ \\ \therefore\rightarrow \\ \\ 5x^(10)-80x^2=5x^2(x^8-16)\Rightarrow\text{ \lparen A\rparen} \end{gathered}`

(B) Complete factorization:

`\begin{gathered} 5x^(10)-80x^2=5x^2(x^8-16)\Rightarrow\text{ \lparen B\rparen} \\ \end{gathered}`