Factor completely: (3x-8)(5x-9)+(5x-9)(4x-3) Answer:

Identify common factors: Identify common factors in both terms. We have the expression (3x-8)(5x-9)+(5x-9)(4x-3). Notice that (5x-9) is a common factor in both terms.Factor out common factor: Factor out the common factor (5x-9). We can write the expression as (5x-9)((3x-8)+(4x-3)).Simplify expression inside parentheses: Simplify the expression inside the parentheses. Now we need to combine like terms in the expression (3x-8)+(4x-3). (3x-8)+(4x-3) = 3x + 4x - 8 - 3 = 7x - 11.Write final factored form: Write the final factored form. Substitute the simplified expression back into the factored form to get (5x-9)(7x-11).

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Algebra 1

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Q. Factor completely:

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(3 x-8)(5 x-9)+(5 x-9)(4 x-3)

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Answer:

Identify common factors: Identify common factors in both terms. $\newline$ We have the expression $(3x-8)(5x-9)+(5x-9)(4x-3)$ . Notice that $(5x-9)$ is a common factor in both terms.
Factor out common factor: Factor out the common factor $(5x-9)$ . We can write the expression as $(5x-9)((3x-8)+(4x-3))$ .
Simplify expression inside parentheses: Simplify the expression inside the parentheses. $\newline$ Now we need to combine like terms in the expression $(3x-8)+(4x-3)$ . $\newline$ $(3x-8)+(4x-3) = 3x + 4x - 8 - 3 = 7x - 11$ .
Write final factored form: Write the final factored form. $\newline$ Substitute the simplified expression back into the factored form to get $(5x-9)(7x-11)$ .