Factor completely: 4x^(2)(3x+4)-(3x+4) Answer:

Identify Common Factor: Identify the common factor in both terms. The common factor in 4x^2(3x+4) and -(3x+4) is (3x+4).Factor Out Common Factor: Factor out the common factor from both terms. The expression can be written as (3x+4)(4x^2 - 1).Recognize Difference of Squares: Recognize that 4x^2 - 1 is a difference of squares. 4x^2 - 1 can be factored further since it is a difference of squares: (2x)^2 - (1)^2.Factor Difference of Squares: Factor the difference of squares. The factored form of 4x^2 - 1 is (2x + 1)(2x - 1).Write Completely Factored Form: Write the completely factored form of the original expression. The completely factored form of the original expression is (3x+4)(2x+1)(2x-1).

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Factor completely:

4x^(2)(3x+4)-(3x+4)
Answer:

Factor completely: $\newline$ $4 x^{2}(3 x+4)-(3 x+4)$ $\newline$ Answer:

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

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Q. Factor completely:

\newline

4 x^{2}(3 x+4)-(3 x+4)

\newline

Answer:

Identify Common Factor: Identify the common factor in both terms. $\newline$ The common factor in $4x^2(3x+4)$ and $-(3x+4)$ is $(3x+4)$ .
Factor Out Common Factor: Factor out the common factor from both terms. $\newline$ The expression can be written as \(3x+ $4$ )( $4$ x^ $2$ - $1$ )\.
Recognize Difference of Squares: Recognize that $4x^2 - 1$ is a difference of squares. $\newline$ $4x^2 - 1$ can be factored further since it is a difference of squares: $(2x)^2 - (1)^2$ .
Factor Difference of Squares: Factor the difference of squares. $\newline$ The factored form of $4x^2 - 1$ is $(2x + 1)(2x - 1)$ .
Write Completely Factored Form: Write the completely factored form of the original expression. $\newline$ The completely factored form of the original expression is $(3x+4)(2x+1)(2x-1)$ .