Question

State the order of operations in -2(x-5)^2+8: 1. 2. 3.

Answer 1

You would use PEMDAS

P stands for parentheses, x-5 can’t be simplified, so on to E.

E stands for exponent so next you would square x-5 getting x^2-10x+25.

M stands for multiplication, you multiply your result from E by -2. So, -2(x^2-10x+25)+8. And then -2x^2+20x-50+8.

D stands for division, and there is none so moving on.

A stands for addition, and so we add next. -2x^2+20x-42.

You can’t simplify any further so there you go!
Hope this helps!

Answer 2

Hey there!

Just distribute:
2(x - 5)^2 + 8
= 2x^2 + 20x - 50 + 8
Combine your like terms
-50 & 8
= -50 + 8 ➡️ -42



Answer: 2x^2 + 20x + -42