5n2+10n+20 Final result :
5 • (n2 + 2n + 4)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "n2" was replaced by "n^2".
Step by step solution :Skip Ad
Step 1 :Equation at the end of step 1 : (5n2 + 10n) + 20
Step 2 :Step 3 :Pulling out like terms :
3.1 Pull out like factors :
5n2 + 10n + 20 = 5 • (n2 + 2n + 4)
Trying to factor by splitting the middle term
3.2 Factoring n2 + 2n + 4
The first term is, n2 its coefficient is 1 .
The middle term is, +2n its coefficient is 2 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 1 • 4 = 4
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 2 .
-4 + -1 = -5 -2 + -2 = -4 -1 + -4 = -5 1 + 4 = 5 2 + 2 = 4 4 + 1 = 5
