Answer:
2xy(x+5)(4x−1)
Step-by-step explanation:
1 Find the Greatest Common Factor (GCF).
GCF = 2xy
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy (8x^3y + 38x^2y/2xy + −10xy/2xy)
3 Simplify each term in parentheses.
2xy(4x^2 +19x−5)
4 Split the second term in 4x^2+19x-5 into two terms.
2xy(4x^2 +20x−x−5)
5 Factor out common terms in the first two terms, then in the last two terms.
2xy(4x(x+5)−(x+5))
6 Factor out the common term x+5.
2xy(x+5)(4x−1)
Answer:
16x² +48x +36
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a +b)² = a² +2ab +b²
We want to match this form.
__
<h3>comparing terms</h3>
Comparing the known terms, we see ...
16x² = a² ⇒ a = 4x
36 = b² ⇒ b = 6
<h3>filling in the missing term</h3>
The missing term is the linear term:
2ab = 2(4x)(6) = 48x
? = 48
The answer is -2. The line is going from left to right which makes it negative. Then if you look at the line and do change in y(rise) over change in x(run).
