Factor each expression completely. a.y+2xy b.\tan u + 2\cos u \tan u

ringearV

ringearV

Answered question

2021-05-16

Factor each expression completely.
a.y+2xy
b.tanu+2cosutanu

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-05-18Added 102 answers

Step 1
Factorization is the process of taking common from the terms of given expression and the common term is known as factor of that expression.
Given expression is:
a.y+2xy
Here, y is common in both terms so taking y from y and 2xy,we get
y+2xy
=y(1+2x)
Hence, factorization of given expression is y(1+2x) and factors are y and 1+2x.
Step 2
And,
b.tanu+2cosutanu
Here, tanu is common in both terms so taking tanu from tanu and 2cosutanu,we get
tanu+2cosutanu
=tanu(1+2cosu)
Hence, factorization of given expression is tanu(1+2cosu) and factors are tanu and 1+2cosu.

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