(i) 2(x – 2y)2 – 50y2
(ii) 32 – 2(x – 4)2
Answer :
(i) 2(x – 2y)2 – 50y2
Take out common in all terms,
2[(x – 2y)2 – 25y2]
2[(x – 2y)2 – (5y)2]
We know that, a2 – b2 = (a + b) (a – b)
2[(x – 2y + 5y) (x – 2y – 5y)]
2[(x + 3y) (x – 7y)]
2(x + 3y) (x – 7y)
(ii) 32 – 2(x – 4)2
32 – 2(x – 4)2
Take out common in all terms,
2[16 – (x – 4)2]
2[42– (x – 4)2]
We know that, a2 – b2 = (a + b) (a – b)
2[(4 + x – 4) (4 – x + 4)]
2[(x) (8 – x)]
2x (8 – x)
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