Factor completely: (7x+9)^(6)-10(7x+9)^(5) Answer:

Identify Common Factor: Identify the common factor in both terms. The expression given is (7x+9)^(6)-10(7x+9)^(5). We can see that (7x+9)^(5) is a common factor in both terms.Factor Out Common Factor: Factor out the common factor (7x+9)^(5). We can write the expression as (7x+9)^(5) * [(7x+9) - 10].Simplify Inside Brackets: Simplify the expression inside the brackets. Now we simplify (7x+9) - 10, which gives us 7x - 1.Write Final Factored Form: Write the final factored form. The completely factored form of the expression is (7x+9)^(5) * (7x - 1).

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Factor completely:

(7x+9)^(6)-10(7x+9)^(5)
Answer:

Factor completely: $\newline$ $(7 x+9)^{6}-10(7 x+9)^{5}$ $\newline$ Answer:

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Factor completely:

\newline

(7 x+9)^{6}-10(7 x+9)^{5}

\newline

Answer:

Identify Common Factor: Identify the common factor in both terms. $\newline$ The expression given is $(7x+9)^{6}-10(7x+9)^{5}$ . We can see that $(7x+9)^{5}$ is a common factor in both terms.
Factor Out Common Factor: Factor out the common factor $(7x+9)^{5}$ . We can write the expression as $(7x+9)^{5} \times [(7x+9) - 10]$ .
Simplify Inside Brackets: Simplify the expression inside the brackets. $\newline$ Now we simplify $(7x+9) - 10$ , which gives us $7x - 1$ .
Write Final Factored Form: Write the final factored form. $\newline$ The completely factored form of the expression is $(7x+9)^{5} \times (7x - 1)$ .