6a^2+37ab+6b^2 factor?

trinomial

2 Answers
Sunayan S
Oct 31, 2017

We the answer below...

Explanation:

#6a^2+37ab+6b^2#
#=6a^2+36ab+ab+6b^2#
#=6a(a+6b)+b(a+6b)#
#=(6a+b)(a+6b)# [ANSWER]

Hope it helps...
Thank you...
Please response after checking the answer...

Pallu
Oct 31, 2017

#=> (6a+b)(a+6b)#

Explanation:

#6a^2+37ab+6b^2#

We need to find two such numbers which sum up to the coefficient of middle term, i.e. #37# and their product is equal to product of coefficient of first and last term:

two such numbers are #1# and #36#

#=>6a^2 + 36ab+1ab +6b^2#

#=>6a(a+6b) +b(a+6b)#

#=> (6a+b)(a+6b)#

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