Factor. 25u^2 + 40u + 16 ______

Identify Quadratic Form: Identify the quadratic in the form of ax^2 + bx + c. Here, a = 25, b = 40, and c = 16.Find Multiplying Numbers: Look for two numbers that multiply to ac (25 * 16 = 400) and add up to b (40). The numbers are 20 and 20 since 20 * 20 = 400 and 20 + 20 = 40.Rewrite Middle Term: Rewrite the middle term using the two numbers found. 25u^2 + 20u + 20u + 16Factor by Grouping: Factor by grouping. (25u^2 + 20u) + (20u + 16)Factor Common Factors: Factor out the common factors from each group. 5u(5u + 4) + 4(5u + 4)Factor Common Binomial: Factor out the common binomial factor. (5u + 4)(5u + 4) or (5u + 4)^2

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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25u^2 + 40u + 16

Identify Quadratic Form: Identify the quadratic in the form of $ax^2 + bx + c$ . Here, $a = 25$ , $b = 40$ , and $c = 16$ .
Find Multiplying Numbers: Look for two numbers that multiply to $ac$ ( $25 \times 16 = 400$ ) and add up to $b$ ( $40$ ). $\newline$ The numbers are $20$ and $20$ since $20 \times 20 = 400$ and $20 + 20 = 40$ .
Rewrite Middle Term: Rewrite the middle term using the two numbers found. $\newline$ $25u^2 + 20u + 20u + 16$
Factor by Grouping: Factor by grouping. $\newline$ $(25u^2 + 20u) + (20u + 16)$
Factor Common Factors: Factor out the common factors from each group. $\newline$ $5u(5u + 4) + 4(5u + 4)$
Factor Common Binomial: Factor out the common binomial factor. $\newline$ $(5u + 4)(5u + 4)$ or $(5u + 4)^2$