Question

Factorize / 225x² + y²- 30xy -36z²​

Answer 1

Answer:

Step by Step Solution

STEP1:Equation at the end of step 1

((32•52x2) - 30xy) + y2

STEP2:Trying to factor a multi variable polynomial

 2.1    Factoring    225x2 - 30xy + y2 

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

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

Detecting a perfect square :

 2.2    225x2  -30xy  +y2  is a perfect square 

 It factors into  (15x-y)•(15x-y)

which is another way of writing  (15x-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 :

(15-y)²

Answer 2

Solution

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Hope it's help you