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Mathematics
2. Polynomials
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Q9 of 274 Page 80

Factorize:

We know that,


a3 + b3 + c3 – 3abc = (a + b + c) (a2 + b2 + c2 – ab – bc – ca)]


Using this formula, we get


= (a)3 + (2b)3 + (c)3 – 3 (a) (2b) (c)


= ( + 2b + c) [()2 + (2b)2 + (c)2 – () (2b) – (2b) (c) – (c) (a)]


= ( + 2b + c) (2a2 + 8b2 + c2 – 4ab – 2bc – ac)


More from this chapter

All 274 →
7

Factorize:

8 – 27b3 – 343c3 – 126bc

8

Factorize:

125 – 8x3 – 27y3 – 90xy

10

Factorize:

x3 + y3 – 12xy + 64

11

Factorize:

(a – b)3 + (b – c)3 + (c – a)3

Questions · 274
2. Polynomials
1 2 3 4 4 4 5 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 1 2 3 4 5 6 1 2 3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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