Question

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Factorise : 100c2 – 20ac + a² - 100c2​

Answer 1

Answer:

Hope it's correct thank you (づ￣ ³￣)づ

Answer 2

 2.1    Factoring    a2 - 20ac + 100c2 

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

 Found a factorization  :  (a - 10c)•(a - 10c)

Detecting a perfect square :

 2.2    a2  -20ac  +100c2  is a perfect square 

 It factors into  (a-10c)•(a-10c)

which is another way of writing  (a-10c)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 :

(a - 10c)2