Question

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Expand the binomial (4x + 3y)3.
The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is

Answer 1

144

This is the expanded binomial theorem

64x^3 + 144x^2y + 108xy^2 + 27y^3

Answer 2

the main formula is (a+b)^3=a^3+3(a^2)b+3a(b^2)+b^3
let be a=4x, b=3y
so (4x + 3y)^3=(4x)^3+3.(4x)^2.(3y)+3.4x.(3y)^2+(3y)^3
= 64x^3+144x^2.y+108x.y^2+27y^3
The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is 144