Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

Simplify the expression $(\frac{-2a^2b^{\frac{3}{4}}}{12a^3b^{\frac{1}{2}}})^2$.

ExponentsSimplificationAlgebraic Expressions
2025/4/21

We need to solve problem 15, which is a division problem: $(a^2b - ab^2 + a^2b^2) / (-ab)$.

Polynomial DivisionAlgebraic ManipulationExpressions
2025/4/21

The problem is to divide the polynomial expression $\frac{3}{8}a^2b^2$ by $\frac{1}{4}y^2$. The expr...

Polynomial DivisionAlgebraic ExpressionsSimplification
2025/4/21

The problem asks to divide the polynomial $108m^3n - 122mn + 48mn^2$ by $2mn$.

Polynomial DivisionAlgebraic ManipulationExponents
2025/4/21

The problem asks to divide the polynomial $47108m^3n - 122mn + 48mn^2$ by $2mn$.

Polynomial DivisionAlgebraic Manipulation
2025/4/21

The problem consists of two parts. Part (a) requires simplifying the algebraic expression $\frac{x^2...

Algebraic simplificationGeometryTrigonometryRectangleTriangleArea CalculationCosineTangent
2025/4/21

We are given three division problems. We need to divide the first polynomial by $m$, the second poly...

Polynomial DivisionAlgebraic ManipulationExponents
2025/4/21

The problem is to simplify the given expression: $-8m^3 + 12m^2 + 21m - 2$.

PolynomialsSimplification
2025/4/21

The problem is to simplify the given expression: $-8m^3 + 12m^2 + 21m - 2$. This is a polynomial in ...

PolynomialsSimplificationAlgebraic Expressions
2025/4/21

The problem contains three parts: (a) Evaluate $(0.004592)^{\frac{1}{3}}$ using logarithm tables. (b...

LogarithmsExponentsSystems of Linear EquationsAlgebraic ManipulationAntilogarithms
2025/4/21