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22 votes
Factor 2uv+5u+8v+20 factor polynomials

User Robro
by
3.4k points

2 Answers

10 votes

Answer:

(2v + 5)(u + 4)

Explanation:

2uv + 5u + 8v + 20 ( factor first/second and third/fourth terms )

= u(2v + 5) + 4(2v + 5) ← factor out (2v + 5) from each term

= (2v + 5)(u + 4)

User Sachin Dobariya
by
3.2k points
11 votes

Answer:
\left(2v+5\right)\left(u+4\right)

Explanation:

Favtor the terms:

2uv+5u


u\left(2v+5\right)

8v+20


4\left(2v+5\right)

Add the factored terms and factor out the common term 2v+5:


u\left(2v+5\right)+4\left(2v+5\right)


\left(2v+5\right)\left(u+4\right)

User Gerson Dantas
by
3.5k points