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

Asked 3/10/2014 6:51:57 AM

Updated 3/26/2014 1:59:50 PM

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(2x + y)^4

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

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

Added 3/10/2014 7:15:48 AM

This answer has been confirmed as correct and helpful.

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

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

Added 3/26/2014 1:59:50 PM

Rated good by jerry06

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