Use Pascal's Triangle to expand (2x + y)4. A. 16x4 – 32x3y + 24x2y2 – 8xy3 + y4 B. 16x4 + 32x3y + 24x2y2 + 8xy3 + y4 C. 16x4 + 64x3y + 48x2y2 + 16xy3 + y4 D. 16x4 – 64x3y + 48x2y2 – 16xy3 + y4
(2x + y)^4 = 16x^4 + 32x^3y + 24x^2y^2 + 8xy^3 + y^4
Question
Updated 3/26/2014 1:59:50 PM
Rating
3
(2x + y)^4

= 16x^4 + 32x^3y + 24x^2y^2 + 8xy^3 + y^4

1
Pascal's Triangle for the above binomial expansion.

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
so the expansion is-
1*(2x)^4+4*(2x)^3*y+6*(2x)^2*y^2+4*(2x)*y^3+y^4

=16x^4+32x^3y+24x^2y^2 + 8xy^3 + y^4

Rated good by jerry06

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