# expanding

1. ### Expanding the brackets

Hi :) f(x) = x^3-2x^2+x h(x) = x^2+x Find f(x)h(x) So I put (x^3-2x^2+x)(x^2+x) I tried to expand the brackets and ended up with x^5 - 2x^4 + x^3 + x^2 - 2x^3 + x^4 but the answer is x^5 - x^4 - x^3 + x^2 and I think I expanded wrong but I'm not sure where. If you could help me out that...
2. ### Expanding a binomial and finding a specific term.

1) expand binomial (x-2y)^4 I got x^4+4x^3-2y+6x^2-2y^2+4x-2y^3-2y^4 Also is there any easier way to do this? I am using the binomial theorem, and it is hard to memorize all the formula. 2) (4x+3y)^10 Fidning term containing y^7 (210(4x^4)(3y^6))
3. ### Expanding Logarithmic Expressions. Not Understanding This One.

I was working through a logarithm packet for practice and I got this one: log3(9x3)1/5 ,where 9x3 to the 1/5 is 9x3 root 5 (I think 1/5 is equal to radical 5, correct me if I'm wrong (Itwasntme)). After expanding, I got 1/5(2log3(3)+3log3(x)) However, the...
4. ### expanding binomials help

I need help expanding the following binomial! Thanks :) (\frac{x}{2x^2} -4x^5)^5
5. ### Asymptotic expansion on 3 nonlinear ordinary differential equations

The 3 nonlinear differential equations are as follows $$\epsilon \frac{dc}{dt}=\alpha I + \ c (-K_F - K_D-K_N s-K_P(1-q)), \nonumber$$ $$\frac{ds}{dt}= \lambda_b P_C \ \epsilon \ c (1-s)- \lambda_r (1-q) \ s, \nonumber$$...
6. ### Expanding Brackets with a Fraction

The answer is: 4x³ +8x² +4x So clearly I have done this incorrectly as I put the answer as '4x^4 +8x³ +4x²' You can probably guess what I've done wrong, as I thought I had to remove the fraction by multiplying all the terms by the denominator. It seems as though everything is multiplied as...
7. ### expanding f(x) into the maclaurin series

Expand the function f(x) = sin^6(x) + cos^6(x) into Maclaurin series on the whole real line \mathbb{R}. So here is what I have done so far: From what I have been able to figure out, though I am not sure this is correct, the Maclaurin series is defined as f(x) = f(0) + f'(0)x +...
8. ### How do you integrate this without expanding?

(2x+5x2+2x15)99 dx. Please show me a method where you can integrate this expression without having to actually expand it in any way.
9. ### Am I expanding this correctly?

Did very good on my last test, so I'll have to keep coming here for advice :) How would I expand: (x-3)(x+5)(3x+6) Is it: x2 - 5x +3x2 + 6x -3x - 15 -9x - 18 4x2 - 11x - 33 ?
10. ### Expanding and Expanding brackets with FRACTIONAL POWERS

Hey guys, bit stuck on how to expand+simply this equation. could you please help me out and post how to do get to the simplified equation? the equation being: thanks in advance. Gamei
11. ### Expanding Binomials

Please help quick!! Find the coefficient of in the expansion of
12. ### Expanding and subtracting binomials

I'm working on expanding binomials and I currently understand how to expand basic ones using the binomial theorem. But due to transferring to my Precalc class late, I missed the lecture on them. Could someone explain how to expand and simplify this expression using the binomial theorem...
13. ### Pure Math 1 Help & Expanding trinomial

Hi, I have a couple of homework questions, can anyone help me please? 1) Given that the expansion of (1+ax)^n begins 1+36x+576x^2, find the values of a and n. 2) Determine the coefficient of p^4q^7 in the expansion of (2p-q)(p+q)^10. 3. How to expand the entire trinomial: (10+9x3+8/(3x5) )3...
14. ### Hard Expanding Brackets

Hey guys, how can i expand this??? (k^2+1)x^2+2(5k-3)x+9=0 Thanks Dan ps. x^2 means x to the power of 2
15. ### Help Expanding a term

How do i get from sin(x)(cot(x)+csc(x)) to (cos(x)+1) ? Im stuck on this one. Thanks
16. ### Where did I go wrong in expanding the brackets?

11-3(x+2) = 8(x+2) = 8x+16 Why was this marked as incorrect?
17. ### Expanding logarithm into sums and difference

Please don't be scared when you see this. The problem asks me to expand the following logarithm into sums and differences of logarithms whose arguments are as simple as possible: log[((√x2-1)(x2-x)x3)/(x(x-2)104)] This is what I did: = log(√x2-1)+log(x2-x)+3log(x)-log(x)+log(x-2)+log(104)...
18. ### Expanding the product of a series

Hello everyone, I hope this advanced enough to be in this section. I am doing a math project, and at the moment I am confronted with this expression: ∏_(y=1)^(n-1) 2 (a^(1/n) sin(yπ/n)) [capital pi y=1 -> n-1] I know from Wolfram|Alpha (see link) that this is equal to: n*a^((n-1)/n)...
19. ### Expanding Sine cardinal with Taylor Series

Hi, I am trying to expand the sine cardinal (sin(x)/x) using the Taylor series around x=PI. Then I need to show that when x is near PI, the result is approx 0.0525. My problem is when working out the derivatives. f(0)=1 but f'(0) leads to cos(0)/0 which is infinity. Any hints please? thanks
20. ### expanding a binomial series as summation of two exponential functions

Hi, i like to know how to transform the following series (1+x^2)^(-1.5) to the sum of two exponential functions at the form ( {1.359 e^(-x*4/pi)} - {0.359 e^(-x*16/pi)}) x>>1 any help! Thanks Mopen