Factor completely: x^(2)(5x-6)-12 x(5x-6)+20(5x-6) Answer:

Identify Common Factor: Identify the common factor in all terms. The common factor in all terms is (5x-6).Factor Out Common Factor: Factor out the common factor (5x-6). The expression becomes (5x-6)(x^2 - 12x + 20).Factor Quadratic Expression: Factor the quadratic expression. We need to factor x^2 - 12x + 20. To do this, we look for two numbers that multiply to 20 and add up to -12. These numbers are -10 and -2.Write Factored Form: Write the factored form of the quadratic expression. The factored form of x^2 - 12x + 20 is (x - 10)(x - 2).Combine Factored Expressions: Combine the factored quadratic with the common factor. The completely factored form of the original expression is (5x-6)(x - 10)(x - 2).

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Factor completely:

x^(2)(5x-6)-12 x(5x-6)+20(5x-6)
Answer:

Factor completely: $\newline$ $x^{2}(5 x-6)-12 x(5 x-6)+20(5 x-6)$ $\newline$ Answer:

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Q. Factor completely:

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x^{2}(5 x-6)-12 x(5 x-6)+20(5 x-6)

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Answer:

Identify Common Factor: Identify the common factor in all terms. $\newline$ The common factor in all terms is $(5x-6)$ .
Factor Out Common Factor: Factor out the common factor $(5x-6)$ . The expression becomes $(5x-6)(x^2 - 12x + 20)$ .
Factor Quadratic Expression: Factor the quadratic expression. $\newline$ We need to factor $x^2 - 12x + 20$ . To do this, we look for two numbers that multiply to $20$ and add up to $-12$ . These numbers are $-10$ and $-2$ .
Write Factored Form: Write the factored form of the quadratic expression. $\newline$ The factored form of $x^2 - 12x + 20$ is $(x - 10)(x - 2)$ .
Combine Factored Expressions: Combine the factored quadratic with the common factor. $\newline$ The completely factored form of the original expression is $(5x-6)(x - 10)(x - 2)$ .