Question

9xsquare-12xy-4ysquare

Answer 1

Hlw mate!!


Step by step solution :

Step  1  :

Equation at the end of step  1  :

((9 • (x2)) - 12xy) + 22y2

Step  2  :

Equation at the end of step  2  :

(32x2 - 12xy) + 22y2

Step  3  :

Trying to factor a multi variable polynomial :

 3.1    Factoring    9x2 - 12xy + 4y2 

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

 Found a factorization  :  (3x - 2y)•(3x - 2y)

Detecting a perfect square :

 3.2    9x2  -12xy  +4y2  is a perfect square 

 It factors into  (3x-2y)•(3x-2y)
which is another way of writing  (3x-2y)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 :

(3x - 2y)2



Hope it helpful

Answer 2

9x^2 - 12 xy + 4^y^2
9x^2 -6xy - 6xy + 4y ^2
3x( 3x- 2y ) -2y ( 3x -2 y )
(3x-2y ) (3x -2y)