Question

Factorise 2m3 + m2 – 2m - 1

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

 ((2m3 +  m2) -  2m) -  1

STEP

2

:

Checking for a perfect cube

2.1    2m3+m2-2m-1  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  2m3+m2-2m-1  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -2m-1  

Group 2:  2m3+m2  

Pull out from each group separately :

Group 1:   (2m+1) • (-1)

Group 2:   (2m+1) • (m2)

              -------------------

Add up the two groups :

              (2m+1)  •  (m2-1)  

Which is the desired factorization

Step-by-step explanation:

Answer 2

Answer:

(m^2-1) (2m+1)

Step-by-step explanation:

2m^3+m^2-2m-1

=m^2(2m+1)-1(2m+1)

=(m^2-1) (2m+1)

Hope uu will find it beneficial