Question

What is the perfect square of `1 + 2x +3x^2` ?

Answer 1

`2/3+3(x+1/3)^2`

Explanation:

Given that

`1+2x+3x^2`

`=1+3(x^2+2/3x)`

`=1+3(x^2+2(1/3)x+(1/3)^2)-3(1/3)^2`

`=1-1/3+3(x+1/3)^2`

`=2/3+3(x+1/3)^2`