Simplify: (2/d^2)^3 Please help :)

2 answers:

8 0

Changes made to your input should not affect the solution:

(1): "d2" was replaced by "d^2".

STEP
1
:
Equation at the end of step 1

(2d2 - 3d) - 2
STEP
2
:
Trying to factor by splitting the middle term

2.1 Factoring 2d2-3d-2

The first term is, 2d2 its coefficient is 2 .
The middle term is, -3d its coefficient is -3 .
The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
2d2 - 4d + 1d - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
2d • (d-2)
Add up the last 2 terms, pulling out common factors :
1 • (d-2)
Step-5 : Add up the four terms of step 4 :
(2d+1) • (d-2)
Which is the desired factorization

Final result :
(d - 2) • (2d + 1)