How do you expand the equation #(4x+y)^4# using pascals triangle?

1 Answer
bp
Sep 12, 2015

#256x^4 +256x^3y +96x^2y^2 +16xy^3 +y^4#

Explanation:

In the pascals triangle the coefficients 1,4,6,4,1 represent the terms #x^4 +4x^3y +6x^2y^2 +4 xy^3 +y^4# in the expansion of #(x+y)^4# .

to write the expansion of (4x+y)^4, replace x by 4x and write

#(4x)^4 #+ #4(4x)^3*y#+#6*(4x)^2*y^2 + 4*(4x)*y^3 +y^4#

On simplification it would be

#256x^4 +256x^3y +96x^2y^2 +16xy^3 +y^4#

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