Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 21m^{2}+13mn+2n^{2}

Rui Baldwin

Rui Baldwin

Answered question

2021-03-30

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
21m2+13mn+2n2

Answer & Explanation

Fatema Sutton

Fatema Sutton

Skilled2021-04-01Added 88 answers

Step 1
To factorise: 21m2+13mn+2n2
Solution:
21m2+13mn+2n2
On simplifying further, we get:
21m2+13mn+2n2=21m2+(7mn+6mn)+2n2
=(21m2+7mn)+(6mn+2n2)
=7m(3m+n)+2n(3m+n)
=(3m+n)(7m+2n)
21m2+13mn+2n2=(3m+n)(7m+2n)
Step 2
Result:
21m2+13mn+2n2=(3m+n)(7m+2n)

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