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