Question

50a^2-2(b-c)^2 factorize this. please can any one factorize this

Answer 1

Answer: 2(5a+b-c)(5a-b+c)

Step-by-step explanation:

50a^2-2(b-c)^2

= 2×25a^2-2(b-c)^2

= 2× [ 25a^2-(b-c)^2]

= 2 × [(5a)^2-(b-c)^2]

Using, a^2-b^2= (a+b) (a-b),

= 2×[5a+(b-c)][5a-(b-c) ]

= 2(5a+b-c)(5a-b+c)