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)

Respuesta :

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

[tex]5x^{10}-80x^2\Rightarrow(1)[/tex]

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

[tex]\begin{gathered} 5x^{10}-80x^2=5\times x^2\times x^8-5\times16\times x^2 \\ \\ \text{ GCF }\Rightarrow5x^2 \\ \\ \therefore\rightarrow \\ \\ 5x^{10}-80x^2=5x^2(x^8-16)\Rightarrow\text{ \lparen A\rparen} \end{gathered}[/tex]

(B) Complete factorization:

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