Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to find the value of the variables in the given equations. We need to solve for ...
Linear EquationsSolving EquationsVariables
2025/6/16
We are given two polynomials: $A = 2x^3 + 3x^2 - 8x + 1$ and $B = x^2 + 3x - 2$. The problem asks us...
PolynomialsPolynomial SubtractionAlgebraic Manipulation
2025/6/16
The problem is to factorize the expression $8x^3 + y^3$. This is a sum of cubes.
FactorizationSum of CubesPolynomials
2025/6/16
The problem is to simplify the expression $(7x_3 + 8x_3)(4)$.
SimplificationAlgebraic ExpressionsCombining Like Terms
2025/6/16
The problem asks us to factor the expression $x^3 - 27y^3$.
FactorizationDifference of CubesPolynomials
2025/6/16
The problem is to factor the expression $x^3 + 125$.
Polynomial FactorizationSum of Cubes
2025/6/16
The problem asks us to simplify the expression $(x-10y)(x^2 + 10xy + 100y^2)$.
Algebraic ManipulationDifference of CubesPolynomials
2025/6/16
The problem asks us to identify which of the four given inequalities is correct. The inequalities in...
LogarithmsExponentsInequalitiesFunction Properties
2025/6/16
We are asked to evaluate the expression $\log_{9} \sqrt[6]{32}(\log_{2} 3 + \log_{4} 9 + \log_{8} 27...
LogarithmsExponentsChange of Base
2025/6/16
The problem asks to state the formulas for the following expressions: $(a + b)^2$ $(a - b)^2$ $a^2 -...
Algebraic IdentitiesPolynomial ExpansionFactorization
2025/6/16