Factor completely: (3x-10)(4x-7)+(3x-10)(4x+9) Answer:

Identify Common Factors: Step Title: Identify Common Factors Concise Step Description: Recognize that (3x-10) is a common factor in both terms of the expression. Calculation: (3x-10) is present in both (3x-10)(4x-7) and (3x-10)(4x+9).Factor Out Common Factor: Step Title: Factor Out the Common Factor Concise Step Description: Factor out the common factor (3x-10) from the expression. Calculation: (3x-10)(4x-7) + (3x-10)(4x+9) = (3x-10)((4x-7) + (4x+9)).Simplify Inside Parentheses: Step Title: Simplify the Expression Inside the Parentheses Concise Step Description: Combine like terms inside the parentheses. Calculation: (4x-7) + (4x+9) = 4x + 4x - 7 + 9 = 8x + 2.Write Final Factored Form: Step Title: Write the Final Factored Form Concise Step Description: Multiply the common factor by the simplified expression. Calculation: (3x-10)(8x+2).

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Q. Factor completely:

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(3 x-10)(4 x-7)+(3 x-10)(4 x+9)

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Answer:

Identify Common Factors: Step Title: Identify Common Factors $\newline$ Concise Step Description: Recognize that $(3x-10)$ is a common factor in both terms of the expression. $\newline$ Calculation: $(3x-10)$ is present in both $(3x-10)(4x-7)$ and $(3x-10)(4x+9)$ .
Factor Out Common Factor: Step Title: Factor Out the Common Factor $\newline$ Concise Step Description: Factor out the common factor $(3x-10)$ from the expression. $\newline$ Calculation: $(3x-10)(4x-7) + (3x-10)(4x+9) = (3x-10)((4x-7) + (4x+9))$ .
Simplify Inside Parentheses: Step Title: Simplify the Expression Inside the Parentheses $\newline$ Concise Step Description: Combine like terms inside the parentheses. $\newline$ Calculation: $(4x-7) + (4x+9) = 4x + 4x - 7 + 9 = 8x + 2$ .
Write Final Factored Form: Step Title: Write the Final Factored Form $\newline$ Concise Step Description: Multiply the common factor by the simplified expression. $\newline$ Calculation: $(3x-10)(8x+2)$ .