Need help on how to expand (X+H)^4!!?

Question

Hello, 
I’m trying to simplify and work through the expression (\frac{(x+h)^4 - x^4}{h}). I would greatly appreciate a detailed explanation along with the solution, as I’m struggling to figure it out. Additionally, I need help expanding ((x+h)^4). I've come across some general formulas for expanding powers of binomials, but I’m not sure how to apply them here. 
Thank you very much for your help!

Mr. Eriberto Bernier Jr. · Accepted Answer

(x + h)&#8308; = x&#8308; + 4x&sup3;h + 6x&sup2;h&sup2; + 4xh&sup3; + h&#8308;the powers of the x decrease and the powers of the h increasethe coefficients come from pascals triangle11 11 2 11 3 3 11 4 6 4 11 5 10 10 5 1etcThese can also be found using combinationsnCr(a + b)^n = &sum;(r = 0 to n) nCr a^(n &ndash; r) b^r

Anonymous · Answer

X H 4

Anonymous · Answer

Memorize Pascal&rsquo;s triangle it will help a lot, multiplying all the terms out takes far too long.  I&rsquo;ve included a link so you can see what I&rsquo;m talking about.Expanding (x+h)^4 results in (x^4+4x^3h+6x^2h^2+4xh^3+h^4-x^4)/hSimplifies to (4x^3h+6x^2h^2+4xh^3+h^4)/h after subtracting the x^4 term.Dividing by h results in 4x^3+6x^2h+4xh^2+h^3.  This is your final answer.

Anonymous · Answer

(x+h)^4=[(x+h)^2]*[(x+h)^2] 
This is the long way to do it, but it works with any number of terms inside the parentheses and any power.
The general formula for binomial powers comes from combinatorial calculus.
Look up Pascal’s triangle for a simple way to derive the coefficients.

Anonymous · Answer

For the best answers, search on this site shorturl.im/awozz
Hi, (x + 4)(x + 3) = x(x + 3) + 4(x + 3) = x² + 3x + 4x + 12 = x² + 7x + 12 <==ANSWER I hope that helps!! ?

Anonymous · Answer

try looking up the pascals triangle, it will help you a lot

Anonymous

Need help on how to expand (X+H)^4!!?

6 Answers

AI-Powered Insights

Want to answer this question?

Categories

Tags

Related Questions