Question

Factorise 9x^3+6x^2y^2-3xy^2 explain step by step in copy ​

Answer 1

Answer:

step 1:Equation at the end of step 1

 ((9 • (x3)) -  ((2•3x2) • y)) +  xy2

STEP  

2

:

Equation at the end of step

2

:

 (32x3 -  (2•3x2y)) +  xy2

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  9x3 - 6x2y + xy2  =   x • (9x2 - 6xy + y2)  

Trying to factor a multi variable polynomial :

4.2    Factoring    9x2 - 6xy + y2  

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

Found a factorization  :  (3x - y)•(3x - y)

Detecting a perfect square :

4.3    9x2  -6xy  +y2  is a perfect square  

It factors into  (3x-y)•(3x-y)

which is another way of writing  (3x-y)2

How to recognize a perfect square trinomial:  

• It has three terms  

• Two of its terms are perfect squares themselves  

• The remaining term is twice the product of the square roots of the other two terms

Final result :

 x • (3x - y)2

Step-by-step explanation: