Simplify each expression. Write answers in standard form.

Question

a. (4d-6)(-3d)
b. 5g(g^2-2g+1)
c. (-2q^2+q+3)-5(q^2+2q-1)

Answer 1

a )

( 4 d - 6 )( - 3 d ) =

4 d * ( - 3 d ) - 6 * ( - 3 d ) =

- 12 d ^ 2 + 18 d

b )

5 g ( g ^ 2 - 2 g + 1 ) =

5 g * g ^ 2 - 5 g * 2 g + 5 g * 1 =

5 g ^ 3 - 10 g ^ 2 + 5 g

c )

( - 2 q ^ 2 + q + 3 ) - 5 ( q ^ 2 + 2 q - 1 ) =

- 2 q ^ 2 + q + 3 - 5 q ^ 2 - 10 q + 5 =

- 2 q ^ 2 - 5 q ^ 2 + q - 10 q + 3 + 5

- 7 q ^ 2 - 9 q + 8

Answer 2

( - 2 q ^ 2 + q + 3 ) - 5 ( q ^ 2 + 2 q - 1 ) = - 7 q ^ 2 - 9 q + 8