For your birthday you get a big cake and cut it into several pieces. At the end of the party you have 12 pieces of the cake left which is 3/8 of the total cake. How many pieces was the cake originally cut into? Write and solve an equation.

32 pieces

Step-by-step explanation:

1 - 3/8 = (8 - 3) / 8 = 5/8

3/8 = 12 pieces

5/8 = x

Cross multiply

3/8 x = 12 * 5/ 8

3/8 x = 7.5

x = 20

Hence, total piece cake was cut into originally :

20 + 12 = 32 pieces

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors