Question

long division

2y raise 3 plus y raise 2 minus 2y minus 1 divided by y-1

Answer 1

Answer:

2y³+y²-2y-1=(2y+1)(y+1)(y-1)

Step-by-step explanation:

Factorising 2y³+y²-2y-1

= y²(2y+1)-1(2y+1)

= (2y+1)(y²-1)

= (2y+1)(y²-1²)

= (2y+1)(y+1)(y-1)

/* By algebraic identity:

a²-b² = (a+b)(a-b) */

Therefore,

2y³+y²-2y-1=(2y+1)(y+1)(y=10)