How do you factor the trinomial #v^2 + 20v + 100#?

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Mar 6, 2018

Answer:

#(v+10)^2 #

Explanation:

We must think of two numbers that have a product of 100 and a sum of 10. Thus, we can deduce that these two numbers are 10 and 10:

10+10=20
10*10=100

#(v+10)(v+10)#

Which can be summarised as:
#(v+10)^2 #

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