Factorise:(1) r- 2x -x+2(ii) x + 13x2+32x+ 20(i) x - 3x2 - 9x - 5(iv)

1.	Factorise:(1) r- 2x -x+2(ii) x + 13x2+32x+ 20(i) x - 3x2 - 9x - 5(iv) 2y3 + y2 - 2y-1
Answer» iii) 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)(y+1)(y-1) By ALGEBRAIC IDENTITY: a²-b²= (a+b)(a-b)*/ Therefore, 2y³+y²-2y-1 = (2y+1)(y+1)(y-1)

Factorise:(1) r- 2x -x+2(ii) x + 13x2+32x+ 20(i) x - 3x2 - 9x - 5(iv) 2y3 + y2 - 2y-1

Answer»

iii) 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)(y+1)(y-1)

a²-b²= (a+b)(a-b)*/

Therefore,

2y³+y²-2y-1 = (2y+1)(y+1)(y-1)