Math, asked by hrvr, 15 days ago

09) Factorise x³- 2x² -x+2​

Answers

Answered by gauravleonalmessi
1

Answer:

x

3

−2x

2

−x+2

= {x}^{2} (x - 2) - 1(x - 2)=x

2

(x−2)−1(x−2)

= (x - 2)( {x}^{2} - 1)=(x−2)(x

2

−1)

= (x - 2)(x + 1)(x - 1)=(x−2)(x+1)(x−1)

Step-by-step explanation:

hope this help. you....

Answered by smosan75
45

Your Question:

factorise \:  \:  \: {\green{ {x}^{3}  -  {2x}^{2}  - x + 2}}

SOLUTION:

 {x}^{3}  -  {2x}^{2}  - x + 2

  =  =  > {x}^{2} (x - 2) - 1(x - 2)

 =  =  > (x - 2)( {x}^{2}  - 1)

 =  =  > (x - 2)( {x}^{2}  -  {1}^{2} )

{\blue{ =  =  > (x - 2)(x + 1)(x - 1)}}

{\large{\mathcal{\red{Have \:  a \:  nice  \: day  \: ahead}}}}

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