Factor completely: (8x+3)^(2)+(8x+3) Answer:

Identify Common Factor: Identify a common factor in both terms of the expression. The expression is (8x+3)^(2)+(8x+3). We can see that (8x+3) is a common factor in both terms.Factor Out Common Factor: Factor out the common factor (8x+3). We can write the expression as (8x+3)((8x+3)+1) by factoring out (8x+3).Simplify Inside Parentheses: Simplify the expression inside the parentheses. Simplify (8x+3)+1 to get (8x+3)(8x+3+1).Combine Like Terms: Combine like terms inside the parentheses. Combine (8x+3+1) to get (8x+4).Write Final Factored Form: Write the final factored form. The completely factored form of the expression is (8x+3)(8x+4).

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Factor completely:

(8x+3)^(2)+(8x+3)
Answer:

Factor completely: $\newline$ $(8 x+3)^{2}+(8 x+3)$ $\newline$ Answer:

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Math Problems

Algebra 2

Composition of linear and quadratic functions: find a value

Full solution

Q. Factor completely:

\newline

(8 x+3)^{2}+(8 x+3)

\newline

Answer:

Identify Common Factor: Identify a common factor in both terms of the expression. $\newline$ The expression is $(8x+3)^{2}+(8x+3)$ . We can see that $(8x+3)$ is a common factor in both terms.
Factor Out Common Factor: Factor out the common factor $8x+3$ . We can write the expression as $8x+3$ $(8x+3)+1$ by factoring out $8x+3$ .
Simplify Inside Parentheses: Simplify the expression inside the parentheses. $\newline$ Simplify $(8x+3)+1$ to get $(8x+3)(8x+3+1)$ .
Combine Like Terms: Combine like terms inside the parentheses. $\newline$ Combine $(8x+3+1)$ to get $(8x+4)$ .
Write Final Factored Form: Write the final factored form. $\newline$ The completely factored form of the expression is $(8x+3)(8x+4)$ .