Newbetuts

Given $\tan\alpha=2$, evaluate $\frac{\sin^{3}\alpha - 2\cos^{3}\alpha + 3\cos\alpha}{3\sin\alpha +2\cos\alpha}$

Prove: $(a + b)^{n} \geq a^{n} + b^{n}$

Can you prove $(x-y)^3+(y-z)^3+(z-x)^3 = 3(x-y)(y-z)(z-x)$?

Find five consecutive odd integers such that their sum is $55$.

Solving $5^n > 4,000,000$ without a calculator

What is the difference between "Polynomial" and "Multinomial" in two or more variables?

Solving $|1 - \ln(1 - |2x| + x)| = |1 - |3x||$

Find integers $a,b,c,d$ such that

Find the limit of $U_n$ that satisfies $x_{n+1}=\frac{n+2}{3n+11}(\sqrt{x_n}+\sqrt[3]{7+x_n})$

Is there any general formula for $S = 1^1 + 2^2 + 3^3 + \dotsb+(n - 1)^{n - 1} + n^n, n \in N$? [duplicate]

Finding all polynomials $P(x) \in \mathbb R[x]$ such that $P(x)^2=4P\left(x^2-5x+1\right)+2$

If $B(x+y)-B(x)-B(y)\in\mathbb Z$ can we add an integer function to $B$ to make it additive?

Property of odd degree polynomials?

Solution by radicals of $(1+x)^n=x^m$

Cutting numbers into parts

Is there always a positive $x$ that satisfies $\cos(n_1x)\leq0$, $\cos(n_2x)\leq0$, $\cos(n_3x)\leq0$ for given distinct positive integers $n_i$?

New posts in algebra-precalculus

$211!$ or $106^{211}$:Which is greater?

Solving base e equation $e^x - e^{-x} = 0$

What's wrong with solving absolute value equations in this way?

How long to catch up to a stream started 1 hour ago at 1.5x speed?

Given $\tan\alpha=2$, evaluate $\frac{\sin^{3}\alpha - 2\cos^{3}\alpha + 3\cos\alpha}{3\sin\alpha +2\cos\alpha}$

Prove: $(a + b)^{n} \geq a^{n} + b^{n}$

Can you prove $(x-y)^3+(y-z)^3+(z-x)^3 = 3(x-y)(y-z)(z-x)$?

Find five consecutive odd integers such that their sum is $55$.

Solving $5^n > 4,000,000$ without a calculator

What is the difference between "Polynomial" and "Multinomial" in two or more variables?

Solving $|1 - \ln(1 - |2x| + x)| = |1 - |3x||$

Find integers $a,b,c,d$ such that

Find the limit of $U_n$ that satisfies $x_{n+1}=\frac{n+2}{3n+11}(\sqrt{x_n}+\sqrt[3]{7+x_n})$

Is there any general formula for $S = 1^1 + 2^2 + 3^3 + \dotsb+(n - 1)^{n - 1} + n^n, n \in N$? [duplicate]

Finding all polynomials $P(x) \in \mathbb R[x]$ such that $P(x)^2=4P\left(x^2-5x+1\right)+2$

If $B(x+y)-B(x)-B(y)\in\mathbb Z$ can we add an integer function to $B$ to make it additive?

Property of odd degree polynomials?

Solution by radicals of $(1+x)^n=x^m$

Cutting numbers into parts

Is there always a positive $x$ that satisfies $\cos(n_1x)\leq0$, $\cos(n_2x)\leq0$, $\cos(n_3x)\leq0$ for given distinct positive integers $n_i$?