How do you factor q^2 + 2q + 1?

2 Answers
Apr 25, 2018

(q + 1)(q + 1)

Explanation:

q^2 + 2q + 1 = (q + 1)(q + 1)

Apr 25, 2018

q^2+2q+1=(q+1)(q+1)=(q+1)^2

Explanation:

q^2+2q+1

we will have two brackets like

(q+-a)(q+-b)

where a" & "b" are factors of " 1 " (the last term) that sum to "2" ( the middle term)"

=>a=b=1

:.q^2+2q+1=(q+1)(q+1)=(q+1)^2

this can be seen also from the identity

(a+-b)^2=a^2+-2ab+b^2