Question

factorize 36x^2yz-144xy^2z+180xyz^2

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((36 • (x2)) + 12xyz) - ((3•5y2) • z2)

STEP

2

:

Equation at the end of step

2

:

((22•32x2) + 12xyz) - (3•5y2z2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

36x2 + 12xyz - 15y2z2 = 3 • (12x2 + 4xyz - 5y2z2)

Trying to factor a multi variable polynomial :

4.2 Factoring 12x2 + 4xyz - 5y2z2

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

Found a factorization : (2x - yz)•(6x + 5yz)

Final result :

3 • (2x - yz) • (6x + 5yz)