Use Pascal’s triangle to expand the expression (3 x - 2 y) 3

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Presentation transcript:

Use Pascal’s triangle to expand the expression (3 x - 2 y) 3 Use Pascal’s triangle to expand the expression (3 x - 2 y) 3. Choose the correct answer from the following: 27x 3 - 54x 2y + 36y 2x -8y 3 27x 3 - 36x 2y + 24y 2x -8y 3 27x 3 - 54x 2y - 36y 2x + 8y 3 None of these choices 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

Use the Binomial Theorem to expand the expression (2 - x) 5 Use the Binomial Theorem to expand the expression (2 - x) 5. Choose the correct answer from the following: -x 5 + 10x 4 - 40x 3 + 80x 2 - 80x + 32 -x 5 + 6x 4 - 20x 3 + 40x 2 - 48x + 32 -x 5 + 10x 4 - 40x 3 - 80x 2 + 80x + 32 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

Find the 15th term in the expansion of (A - B) 18 Find the 15th term in the expansion of (A - B) 18. Choose the correct answer from the following: - 3,060A 4B 14 - 153A 2B 16 - 12,240A 3B 15 - 816A 4B 14 None of these choices 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

{image} None of these choices Factor using the Binomial Theorem. 27 x 3 + 189 x 2 y + 441 x y 2 + 343 y 3. Choose the correct answer from the following: 1. 2. {image} None of these choices 3. 4. 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