Rational expression help?

Question

1.)3x^2+x/2x * 4x^2/3x+1

2.)t+3/t-2 * t^2-4/5t+15

3.)x^4-x^3/x-1 * 2/x^2

4.)9y^4 divided by 3y/y+1

5.)9w^3-w/2w-1 * 1-2w/w

please help me. thank you.

Answer 1

3) (x^4-x^3)/(x-1) * 2/x^2

Factor.

= x^3(x-1)/(x-1) *2/x^2

Cancel "x^2" and "x-1" to get

= 2x

4) 9y^4 / [3y/(y+1)]

= 9y^4 * (y+1)/(3y)

Cancel "3y" to get

= 3y^3(y+1)

5) (9w^3-w)/(2w-1) * (1-2w)/w

Factor.

= w(9w^2-1)/(2w-1) * -1(2w-1)/w

Cancel "w" and "2w-1" to get

= -1(9w^2-1)

= 1 - 9w^2