simplify the following expression.

(x+1)^2-3(x+2)

a. x^2-3x+7
b. x^2-x-5
c. x^2-3x-5
d. x^2-x+3

simplify the following expression.

(5x^3y^-)

a. -30x^7y^2
b. -30x^12y^3
c. -30x^12/y^3
d. -30x^7/y^2

solve the following equation.

8+x/2 - x+3/3=4

a. x=-14
b. x=6
c. x=14
d. x=-6

solve the equation.

x^2-3x-8=x+4

a. x=-6 or x=2
b. x=1+ sqrt5 or x=1- sqrt5
c. x=1+2sqrt3 or x=1-2sqrt3
d. x=-2 or x=6

joseph is solving the equation x^2+8x-4=0 using the technique completing the square.
x^2+8x-4=0
x^2+8x+? =4+?
what number should joseph add to both sides of the equation to complete the square, and why?

a. he should add 4 to both sides because 8/2=4.
b. he should add 4 to both sides because (4/2)^2=4.
c. he should add 16 to both sides because 16/2=8.
d. he should add 16 to both sides because (8/2)^2=16.