SOLUTION: How do you write the binomial expansion for question # 1 & 2? 1. (2x+3)3 < - -3rd power 2. (2x-y)6 < - - 6th power 3. What is the 3rd term of the expansion for (x+3)7 < -

SOLUTION: How do you write the binomial expansion for question # 1 & 2? 1. (2x+3)3 < - -3rd power 2. (2x-y)6 < - - 6th power 3. What is the 3rd term of the expansion for (x+3)7 < - - 7t

Question 631210: How do you write the binomial expansion for question # 1 & 2?
1. (2x+3)3 < - -3rd power
2. (2x-y)6 < - - 6th power
3. What is the 3rd term of the expansion for (x+3)7 < - - 7th power
4. What is the 5th term of the expansion for (2x-3y)5 < - - 5h power
5. find the coefficient of x3 < - - x to the 3rd power in the expansion (x+3)5 < - 5th power
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
write the binomial expansion for question # 1 & 2?
1. (2x+3)^3 = 3C3*(2x)^3 + 3C2*(2x)^2*3 + 3C1(2x)*3^2 + 3C0*3^3
----------------------------------------------------------------------
2. (2x-y)^6
Same pattern as above but starting with 6C6
-----------------------------------------------
3. What is the 3rd term of the expansion for (x+3)^7
Ans: 7C5(x^5)(3^2)
-------------------------------
4. What is the 5th term of the expansion for (2x-3y)^5
Ans: 5C1(2x)(-3y)^4
-------------------------------------
5. find the coefficient of x3 in the expansion (x+3)^5
Ans: 5C3(x^3)*3^2
==========================
Cheers,
Stan H.
RELATED QUESTIONS
can you solve these problems in steps? Set2 1. solve the equation 5x+3=-15, for x... (answered by rapaljer)

I need some help please: the question reads simplify each expression. Be sure you write... (answered by stanbon)

a.1 to the 3rd power+2 to the 3rd power+ 3 to the 3rd power+4to the 3rd b. (-1)to the... (answered by funmath)

1.(25 to the 6th power)(45 to the second power) 2.(5k)2nd power(k to the seventh power) (answered by checkley77)

how do you solve for: log1/64 x=3/2 note: x to the 3/2 power = square root of x to... (answered by jsmallt9)

Hi there! I need some help finding out the rule of simplifying the common bases in... (answered by Alan3354)

Will you please show the steps to work this problem? If x=-1 and y=2, what is the value... (answered by Fombitz)

Simlify (2x to the 3rd power-2x to the second power-12x) (x to the fourth-2x to the third (answered by tns_tutor5000)

(6 to the 2nd power minus 3 to the 3rd power) divide... (answered by ReadingBoosters)