Question

9(x+y)^3 - 16(x+y) Factorize it

Answer 1

Answer:

9x^3 + 27xy^2 + 27yx^2 + 9y^3 - 16x - 16y

Step-by-step explanation:

9(x+y)^3 - 16(x+y) = 9x^3 + 27xy^2 + 27yx^2 + 9y^3 - 16x - 16y

It can't be further simplified from here.

Answer 2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(9 • ((x + y)2)) - 16 • (x - 3y)2

STEP

2

:

Equation at the end of step 2

9 • (x + y)2 - 16 • (x - 3y)2

STEP

3

:

3.1 Evaluate : (x+y)2 = x2+2xy+y2

3.2 Evaluate : (x-3y)2 = x2-6xy+9y2

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

-7x2 + 114xy - 135y2 = -1 • (7x2 - 114xy + 135y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 7x2 - 114xy + 135y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x - 15y)•(7x - 9y)

Final result :

(15y - x) • (7x - 9y)