help with quad expressions

[krueges3]

hey if anyone can help me out im trying to simplify each quadratic expression compleetly. so here are the two problems.

1) (x-3)^2+5


2) 2(x+4)^2-7

thanks

[HallsofIvy]

hey if anyone can help me out im trying to simplify each quadratic expression compleetly. so here are the two problems.

1) (x-3)^2+5


2) 2(x+4)^2-7

thanks
1) One step at a time! (x-3)^2 means square so do it: (x-3)(x-3)= x^2- 3x- 3x+ 9= x^2- 3x+ 9. Now (x-3()^2+ 5 has been changed into x^2- 6x+ 9+ 5. Adding "like terms", that is, 9 and 5, (x-3)^2+ 5= x^2- 6x+ 14.

2) Same thing: (x+4)^2= x^2+ 8x= 16 so 2(x+4)^2= 2(x^2+ 8x= 16)= 2x^2+ 16x+ 32. Finally, 2(x+4)^2- 7= 2x^2+ 16x+ 32-7= 2x^2+ 16x+ 25.

Although, frankly, I would consider the form in which they are given, for many uses, "simpler" than the final form.