How do you factor the trinomial $v^{2} + 20 v + 100$ $v^2 + 20v + 100$ ?

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Answer 1 · 2018-03-06T09:19:01

${(v + 10)}^{2}$ $(v+10)^2$

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

$(v + 10) (v + 10)$ $(v+10)(v+10)$

Which can be summarised as:
${(v + 10)}^{2}$ $(v+10)^2$

How do you factor the trinomial v2+20v+100v^2 + 20v + 100?