Can someone explain to me how the things in the red box are achieved?
I never got how to foil polynomials to the power of three. And if you guys could also tell me what to search up on YouTube?
Thanks
>>7922697
if you don't know the "pattern" you need to follow, just do the polynomial to the power of two and multiply it by the term again.
(x+t)^2 * (x+t)
>>7922704
I end up with x^3 + x^2t + 4x + 4t ..
>>7922697
For any power higher than 3 you'd use this triangle to find the coeficcents of the terms.
For example:
(a+b)^n = (nC0)a^n + (nC1)a^(n-1)b.....+(nCn)b^n
The C's are the reffering to the nCr function that is probably on your calculator but also reffers back to this magical triangle where the n is the row and the r is the position (both starting with 0) e.g: 7C1 = 7
(This is called the binomial expansion btw should you want to do some further reading)
>>7922722
Very helpful, and just to be sure when you say, "...position (both starting with 0)..," you mean to say both sides right?
>>7922740
And to include, which row would I start with if I wanted to expand something that was to the power of three?
>>7922697
a*a*a = a*(a*a)
what the fuck is wrong with you.
>>7922754
That doesn't help
>>7922800
bumps
>>7922800
(x+t)(x+t) = x^2 + 2xt + t^2
(x^2 + 2xt + t^2)(x+t) =
x^3 + 2x^2t + xt^2 + x^2t + 2xt^2 + t^3
x^3 + 3x^2t + 3xt^2 + t^3
you fucking brainlet
>>7922970
thx, thats helpful
