# 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 \begin{equation} \epsilon \frac{dc}{dt}=\alpha I + \ c (-K_F - K_D-K_N s-K_P(1-q)), \nonumber \end{equation} \begin{equation} \frac{ds}{dt}= \lambda_b P_C \ \epsilon \ c (1-s)- \lambda_r (1-q) \ s, \nonumber \end{equation}...
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

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