Math, asked by yashjain123890, 1 year ago

factorise 4 x^2 - 12xy + 9y^2

Answers

Answered by KshitijAgarwal
2
4x^2-12xy+9x^2. it is solved by an identity...
(2x)^2- 2*2x*3y+(3y)^2
(2x-3y)^2

Its correct answer

batoolfatimakhan: ya so can uh explain..?
Answered by arpithasonu8
2

Answer:


Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((4 • (x2)) -  12xy) +  32y2

Step  2  :

Equation at the end of step  2  :

 (22x2 -  12xy) +  32y2

Step  3  :

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

Detecting a perfect square :

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

It factors into  (2x-3y)•(2x-3y)

Final result :

 (2x - 3y)2

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