Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor. $\newline$ $25u^2 + 40u + 16$

View step-by-step help

View step-by-step help

Factor quadratics: special cases

Full solution

Q. Factor.

\newline

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 $(5u + 4)^2$

More problems from Factor quadratics: special cases

Question

Find the greatest common factor.

\newline

9v^3, 6v^3

\newline

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\underline{\hspace{1cm}}

Posted 1 month ago

Question

Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

6x^3 + 9x^2

\newline

Posted 2 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 1 month ago

Question

\newline

9j^2 - 16

\newline

Posted 1 month ago

Question

\newline

j^3 + 2j^2 + 5j + 10

Posted 2 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 2 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 1 month ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 3 months ago

Question

3 - 3^2

Posted 3 months ago

Question

5 - 5^2

Posted 1 month ago