Question

Factorise the following: y3+y2-y-1

Answer 1

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dixitsanskar5286

18.07.2018

Math

Secondary School

+15 pts

Answered

Factorise the following: y3+y2-y-1

2

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Answers

rakeshmohata

rakeshmohata Ace

Hope u like my process

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= > {y}^{3} + {y}^{2} - y - 1 \\ \\ = {y}^{2} (y + 1) - 1(y + 1) \\ \\ = (y + 1)( {y}^{2} - 1) \\ \\ = (y + 1)(y - 1)(y + 1) \\ \\ = (y - 1)(y + 1) ^{2}

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ColinJacobus Ambitious

Answer: The required factored form of the given expression is (y+1)(y+1)(y-1).

Step-by-step explanation: We are given to factorize the following cubic expression :

E=y^3+y^2-y-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following formula :

a^2-b^2=(a+b)(a-b).

The factorization of the given expression (i) is as follows :

E\\\\=y^3+y^2-y-1\\\\=y^2(y+1)-1(y+1)\\\\=(y+1)(y^2-1)\\\\=(y+1)(y^2-1^2)\\\\=(y+1)(y+1)(y-1).

Thus, the required factored form of the given expression is (y+1)(y+1)(y-1).

Answer 2

Answer:

y =1/4

Step-by-step explanation:

3y+2y-y-1=0

5y-y=1

4y=1

y=1/4