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

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Answer 1 · 2018-04-25T19:31:27

#(q + 1)(q + 1)#

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

Answer 2 · 2018-04-25T19:33:13

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

#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#