Expand the following: (8x+9y)^4

Question

step by step solution details please :)

Answer 1

By Binomial Expantion Theorem: (8x + 9y)⁴ = C(4,0)(8x)⁴ + C (4,1)(8x)³(9y) + C(4,2)(8x)²(9y)² +

C(4,3)(8x)·(9y)³ +C (4,4)(9y)⁴ = 4096x⁴ + 147456x³y + 31104x²y² + 23328xy³ + 6561y^4

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Answer 2

(8x+9y)^4 = C(4,0)(8x)^4*(9y)^0 + C(4,1)(8x)^3(9y)^1 + C(4,2)(8x)^2(9y)^2 + C(4,3)(8x)^1(9y)^3 + C(4,4)(8x)^0(9y)^4

where C(4,x) combinations of 4 taken x at a time.

4096x4+18432x3y+31104x2y2+23328xy3+6561y4