10.
x+2 , 10x^2-25x-15
____ x ___________
5x-15 , 1
simplify
x+2 , (10x+5)(x-3)
____ x ___________
5(x-3) , 1
x+2 , 5 (2x+1)
____ x ___________
5 , 1
x+2 , (2x+1)
____ x ___________
1 , 1
(x+2)(2x+1)
11.
x^2+6x+9 , x^2-9
________ ÷ ______
x-1 , x^2-2x+1
change ÷ to × and flip second fraction
x^2+6x+9 , x^2-2x+1
________ × ______
x-1 , x^2-9
simplify
(x+3)(x+3) , (x-1)(x-1)
________ × ______
x-1 , (x-3)(x+3)
(x+3) , (x-1)
________ × ______
1 , (x-3)
(x+3)(x-1)
_______
(x-3)
12.
12t^6-8t^8
________
2t^3
simplify
12t^6 , 8t^8
____ - ____
2t^3 , 2t^3
6t^3-4t^5
13.
6 , 1
___ - ___
x+2 , x+9
multiply
6 (x+9) ,1 (x+2)
______ - _______
x+2(x+9) , x+9 (x+2)
6x+54 , x+2
_________ - _______
x^2+11x+18 , x^2+11x+18
(6x+54)-(x+2)
__________
x^2+11x+18
6x+54-x-2=
5x+52
______
x^2+11x+18