Question

Factorise..

please solve this question urgentely pleaseee please help your sister to solve this problem please​

Answer 1

Answer:

64 x^2 - 80 xy +25y^2

Step by Step Solution:

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STEP 1 :

Equation at the end of step 1

 ((64 • (x2)) -  80xy) +  52y2

STEP  

2

:

Equation at the end of step 2 :

 (26x2 -  80xy) +  52y2

STEP 3 :

Trying to factor a multi variable polynomial

3.1    Factoring    64x2 - 80xy + 25y2  

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

Found a factorization  :  (8x - 5y)•(8x - 5y)

Detecting a perfect square :

3.2    64x^2  -80xy  +25y^2  is a perfect square  

It factors into  (8x-5y)•(8x-5y)

which is another way of writing  (8x-5y)^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 :

 (8x - 5y)2

Explanation:

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Answer 2

Answer:

64 x^2 - 80xy + 25 y^2

64x^2 - 40 xy - 40 xy + 25 y^2

8x (8x - 5y) - 5y (8x - 5y)

(8x-5y) (8x - 5y )

(8x-5y)^2

Explanation: