Factor completely: (x-7)^(5)+8(x-7)^(4) Answer:

Identify Common Factor: Identify the common factor in both terms. Both terms have a common factor of (x-7)^(4).Factor Out Common Factor: Factor out the common factor from both terms. Factor (x-7)^(4) out of the expression to get (x-7)^(4) * [(x-7) + 8].Simplify Expression: Simplify the expression inside the brackets. Combine like terms inside the brackets to get (x-7) + 8, which simplifies to x + 1.Write Final Factored Form: Write the final factored form. The factored form of the expression is (x-7)^(4) * (x + 1).

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Factor completely:

(x-7)^(5)+8(x-7)^(4)
Answer:

Factor completely: $\newline$ $(x-7)^{5}+8(x-7)^{4}$ $\newline$ Answer:

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

Q. Factor completely:

\newline

(x-7)^{5}+8(x-7)^{4}

\newline

Answer:

Identify Common Factor: Identify the common factor in both terms. $\newline$ Both terms have a common factor of $(x-7)^{4}$ .
Factor Out Common Factor: Factor out the common factor from both terms. $\newline$ Factor $(x-7)^{4}$ out of the expression to get $(x-7)^{4} \times [(x-7) + 8]$ .
Simplify Expression: Simplify the expression inside the brackets. Combine like terms inside the brackets to get $(x-7) + 8$ , which simplifies to $x + 1$ .
Write Final Factored Form: Write the final factored form. $\newline$ The factored form of the expression is $(x-7)^{4} \times (x + 1)$ .