algebra precalculus - Factorize $ (x+1) (x+2) (x+3) (x+6)- 3x^2 ...
Aug 9, 2013 · Factorize : $$ (x+1) (x+2) (x+3) (x+6)- 3x^2$$ I don't really know where to start, but I expanded everything to get : $$x^4 + 12x^3 + 44x^2 + 72x + 36$$ I used rational roots test …
Prove $ x^n-1=(x-1)(x^{n-1}+x^{n-2}+\\dots+x+1)$
Aug 17, 2014 · My base case is when n= 2 n = 2 we have on the left side of the equation x2 −1 x 2 1 and on the right side: (x−1)(x+1) (x 1) (x + 1) which when distributed is x2 −1 x 2 1.
algebra precalculus - Factoring $ (x+1) (x+2) (x+3) (x+4)+1 ...
Aug 25, 2014 · If you can pretend you "guessed" the factorization, notice $ (x^2+5x+5)^2-1$ is a difference of squares.
calculus - How to determine if a function is one-to-one?
I am looking for the "best" way to determine whether a function is one-to-one, either algebraically or with calculus. I know a common, yet arguably unreliable method for determining this answer …
Is there a closed form for integral $\int_0^\infty \frac {\ln (1+x^2 ...
Nov 16, 2025 · $$\int \frac {\ln (x+\alpha)} {x-z} \, dx = - \operatorname {Li}_2 \left ( 1 + \alpha / z \right ) - \ln (z) \ln \left (1 + \alpha / z \right ) + C$$ I will try to simplify the resulting expression …
Derivative of $e^ {x+1}$ - Mathematics Stack Exchange
Aug 16, 2016 · How did you get your answer? Did you try to apply the chain rule? You might get better answers if you show your process so we can point out where things go wrong.
Verify $(y-x)y' = y-x+8$ has an explicit solution $y = x+ 4 …
Jan 26, 2017 · Ive solved this problem and both sides of the function don't appear to be equal to me. However the solution in the back of the book says it is a solution. Am I not simplifying …
Evaluate the integral: $\int_ {0}^ {1} \frac {\ln (x+1)} {x^2+1 ...
Evaluate the integral: $\int_ {0}^ {1} \frac {\ln (x+1)} {x^2+1} \mathrm dx$ Ask Question Asked 13 years, 6 months ago Modified 5 years, 3 months ago
"x += 1" vs "x = x + 1" : r/learnpython - Reddit
Apr 16, 2020 · I honestly don't understand how this expression can be mathematically correct. I always end up writing x=+1 by accident because the correct way of writing seems so …
geometry - How to find coordinates of reflected point?
18 Find line perpendicular to $ 2y=x+1$ which passes through $ (3, -3)$ Find intersection point of those two lines ( Foot of perpendicular ) Use Mid-Point Formula (special case of Section …