Factor completely: (x-9)+(x-9)^(2) Answer:

Write Expression: Write down the expression to be factored. The expression given is (x-9)+(x-9)^(2). We need to factor this expression completely.Recognize Common Term: Recognize the common term in both parts of the expression. We can see that (x-9) is a common term in both (x-9) and (x-9)^(2).Factor Out: Factor out the common term (x-9). We can factor (x-9) out of the expression, which gives us (x-9)(1+(x-9)).Simplify Expression: Simplify the factored expression. The expression (x-9)(1+(x-9)) simplifies to (x-9)(x-9+1) or (x-9)(x-8).Check Further Factoring: Check for any further factoring. The expression (x-9)(x-8) cannot be factored further since both (x-9) and (x-8) are linear terms with no common factors.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor completely:

(x-9)+(x-9)^(2)
Answer:

Factor completely: $\newline$ $(x-9)+(x-9)^{2}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Factor completely:

\newline

(x-9)+(x-9)^{2}

\newline

Answer:

Write Expression: Write down the expression to be factored. $\newline$ The expression given is $(x-9)+(x-9)^{2}$ . We need to factor this expression completely.
Recognize Common Term: Recognize the common term in both parts of the expression. $\newline$ We can see that $(x-9)$ is a common term in both $(x-9)$ and $(x-9)^{2}$ .
Factor Out: Factor out the common term $(x-9)$ . $\newline$ We can factor $(x-9)$ out of the expression, which gives us $(x-9)(1+(x-9))$ .
Simplify Expression: Simplify the factored expression. $\newline$ The expression $(x-9)(1+(x-9))$ simplifies to $(x-9)(x-9+1)$ or $(x-9)(x-8)$ .
Check Further Factoring: Check for any further factoring. The expression $(x-9)(x-8)$ cannot be factored further since both $(x-9)$ and $(x-8)$ are linear terms with no common factors.