subtraction in algebra one

Question

(-8x+8) - (x to the second power + x-4)

Answer 1

(-8x+8) - (x²+x-4)

 

Simplify signs:

 

-8x + 8 - x² - x + 4

 

Combine like terms:

 

-x² - (8x + x) + (8 + 4)

 

-x² - 9x + 12

Answer 2

(-8x+8)-(x²+x-4), multiply the terms in the second parenthesis by the minus sign and re-write the question as

-8x+8-x²-x+4

combine like terms and you get:

-x²-8x-x+8+4

Finally: -x²-9x+12