Question

What is `3(x-3)^2-22` in standard form?

Answer 1

`color(magenta)(=3x^2+18x+5`

Explanation:

`3(x-3)^2-22`

Identity:`color(red)((a-b)^2=a^2-2ab+b^2`

`=3[x^2+2(x)(3)+3^2]-22`

`=3[x^2+6x+9]-22`

`=3x^2+18x+27-22`

`color(magenta)(=3x^2+18x+5`