What is the standard form of #y= (2x+3)^2+(3x-14)^2 #?

1 Answer
Nov 18, 2015

#y=12x^2 + 96x+205#

Explanation:

given# y= color(blue)((2x+3)^2) + color(brown)((3x-14)^2#

Expanding the brackets

In what follows I use brackets only as a means for grouping so that you can see what is hapening
#y= color(blue)((2x^2 +12x+9)) + color(brown)((9x^2 +84x+ 196))#

Grouping like terms:
#y= (2x^2+9x^2) + (12x + 84x) +(9+196)#

#y=12x^2 + 96x+205#