# expand and simplify

(2x-y) powered to the 6

1                                                                1

2                                                            1        1

3                                                        1       2        1

4                                                    1      3         3      1

5                                                1      4       6        4      1

6                                             1     5      10      10      5     1

7                                          1     6      15     20      15      6    1

without the 2y coefficient it would be :

y^6 + 6 y^5x + 15 y^4x^2 + 20 y^3x^3 + 15 y^2x^4 + 6 yx^5  + x^6

now we need to put in the 2 factors:  I hope this is the correct way!

(2^6)y^6 + (6* 2^5) y^5x + (15*2^4) y^4x^2 + (20*2^3) y^3x^3 + (15*2^2) y^2x^4 + (6*2) yx^5 + x^6

64y^6 + 192y^5x + 240y^4x^2 + 160y^3x^3 + 60y^2x^4 + 12yx^5 + x^6
answered Dec 17, 2011 by Level 10 User (55,740 points)

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