Factor completely: 10(x-6)^(4)-(x-6)^(5) Answer:

Identify common factor: Identify the common factor in both terms. The expression is 10(x-6)^(4)-(x-6)^(5). Both terms have a common factor of (x-6)^(4).Factor out common factor: Factor out the common factor of (x-6)^(4). We can write the expression as (x-6)^(4) * [10 - (x-6)].Simplify inside brackets: Simplify the expression inside the brackets. Subtract (x-6) from 10, which gives us 10 - x + 6.Combine like terms: Combine like terms inside the brackets. 10 + 6 - x simplifies to 16 - x.Write final factored form: Write the final factored form. The completely factored form of the expression is (x-6)^(4) * (16 - x).

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Factor completely:

10(x-6)^(4)-(x-6)^(5)
Answer:

Factor completely: $\newline$ $10(x-6)^{4}-(x-6)^{5}$ $\newline$ Answer:

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Math Problems

Grade 8

Powers with negative bases

Full solution

Q. Factor completely:

\newline

10(x-6)^{4}-(x-6)^{5}

\newline

Answer:

Identify common factor: Identify the common factor in both terms. $\newline$ The expression is $10(x-6)^{4}-(x-6)^{5}$ . Both terms have a common factor of $(x-6)^{4}$ .
Factor out common factor: Factor out the common factor of $(x-6)^{4}$ . We can write the expression as $(x-6)^{4} \times [10 - (x-6)]$ .
Simplify inside brackets: Simplify the expression inside the brackets. $\newline$ Subtract $(x-6)$ from $10$ , which gives us $10 - x + 6$ .
Combine like terms: Combine like terms inside the brackets. $\newline$ $10 + 6 - x$ simplifies to $16 - x$ .
Write final factored form: Write the final factored form. $\newline$ The completely factored form of the expression is $(x-6)^{4} \times (16 - x)$ .