SOLUTION: Please help me to solve these problems step by step. Thank You. (3a+2b)cube and (3-a)cube

Question 337174: Please help me to solve these problems step by step. Thank You.
(3a+2b)cube
and
(3-a)cube

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Form: (x+y)^3 = x^3+3x^2y+3xy^2+y^3
------------------------------------------
(3a+2b)cube
= (3a)^3 + 3(3a)^2*(2b)+3(3a)*(2b)^2+(2b)^3
= 27a^3 + 54a^2b + 36ab^2+8b^3
---------------------------------------------
Form: (x-y)^3 = x^3-3x^2y+3xy^2-y^3
and
(3-a)cube = 3^3-3(3^2)(a)+3(3)(a^2)-a^3
= 27-27a+9a^2-a^3
====================
Cheers,
Stan H.

RELATED QUESTIONS
I have two problems on my practice final that I am stumped on. Can someone please show me (answered by htmentor)

I want to know how to solve this step by step. The Cube root of ((x^2y^6)/(2x^5))... (answered by nerdybill)

Please help me solve these two equations: 3x+4(1+2x)=15 and 4(1+3x)-2(3-x)=12.... (answered by lwsshak3)

Could you please help me with the binomial theorem step by step. I have no idea how to... (answered by Fombitz)

5x <_ 25 solve and graph I am struggling to understand how to solve these types of (answered by jim_thompson5910)

Could somebody please help me to solve this? And could you explain step by step.. 2/3 (answered by Fombitz)

Can you please help me with this logarithm equation.. & can you please do it step by... (answered by solver91311,JimboP1977)

I am doing algebra problems with associative,commutative and distributive... (answered by stanbon)

Is the ordered pair (-3, 6) a solution of 4x - 2y < 2? Could you please help me to... (answered by nabla)