SOLUTION: Use the Binomial Theorem or Pascal's Triangle to expand each binomial. 35. (x + y)4 36. (4 – 3x)3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the Binomial Theorem or Pascal's Triangle to expand each binomial. 35. (x + y)4 36. (4 – 3x)3       Log On


   

Question 177553: Use the Binomial Theorem or Pascal's Triangle to expand each binomial.


35. (x + y)4



36. (4 – 3x)3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Binomial Theorem or Pascal's Triangle to expand each binomial.

35. (x + y)^4 = 4C4x^4y^0 + 4C3x^3y + 4C2x^2y^2 + 4C1xy^3 + 4C0x^0y^4
= x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4
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36.(4–3x)^3 = 3C3*4^3(-3x)^0 + 3C2*4^2(-3x)^1 + 3C1*4^1(-3x)^2 + 3C0*4^0(-4y)^3
= 64 +3*16*-3x + 3*4*(9x^2) + (-64y^3)
= 64 - 576x + 108x^2 - 64y^3
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Cheers,
Stan H.