Question

Factorise 25x^2y^2-20xy^2+4y^2z^2

Answer 1

Answer:

Final result :

 (5x + 2y)2

Step-by-step explanation:

25x2+20xy+4y2  

Final result :

 (5x + 2y)2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((25 • (x2)) +  20xy) +  22y2

Step  2  :

Equation at the end of step  2  :

 (52x2 +  20xy) +  22y2

Step  3  :

Trying to factor a multi variable polynomial :

3.1    Factoring    25x2 + 20xy + 4y2  

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

Found a factorization  :  (5x + 2y)•(5x + 2y)

Detecting a perfect square :

3.2    25x2  +20xy  +4y2  is a perfect square  

Answer 2

Step-by-step explanation:

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