New posts in algebra-precalculus

What is the coefficient of the $x^3$ term in the expansion of $(x^2+x-5)^7$ (See details)?

Find minimum $n$ for $x^2+3x+6=f_1(x)^2+f_2(x)^2+ \cdots +f_n(x)^2$

Why and when can I just peacefully substitute into $\tan^{-1}x+\tan^{-1}y=\tan^{-1}\frac{x+y}{1-xy}$ without checking range conditions?

Number of real solutions of $\begin{array}{r} {\left[\frac{2 x+1}{3}\right]+\left[\frac{4 x+5}{6}\right]} =\frac{3 x-1}{2} \end{array}$

Evaluating $ \sum\limits_{n=1}^\infty \frac{1}{n^2 2^n} $

$f(x) =ax^6 +bx^5+cx^4+dx^3+ex^2+gx+h $, find $f(7)$.

Alternative methods for solving a system of one linear one non linear simultaneous equations

Prove that $\frac{a_1^2}{a_1+b_1}+\cdots+\frac{a_n^2}{a_n+b_n} \geq \frac{1}{2}(a_1+\cdots+a_n).$

Squaring both sides when units are different?

Which is greater: $1000^{1000}$ or $1001^{999}$

How to prove an Inequality

Is there a way to prove this exponential inequality: if $a>b$ then $a^a>b^b$ for $a,b>1$?

Prove that there are infinitely many $n$ such that $2018 \mid U_n-1$

How do I solve $(x-1)(x-2)(x-3)(x-4)=3$

How can one solve the equation $\sqrt{x\sqrt{x} - x} = 1-x$?

Why is it unacceptable to say "the range is a function of the domain"?

If $a,b$ are roots for $x^2+3x+1=0$.Calculating $(\frac{a}{b+1})^2 +(\frac{b}{a+1})^2$

Contradiction with Power functions with odd exponent? [duplicate]

How to solve this in an efficient way (without calculators) [duplicate]

What's a fair way to share fees in a group road trip with a personal and a rental car?