Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem is to divide the polynomial $2x^4y^3 - \frac{1}{5}x^3y^2 + \frac{1}{4}x^2y$ by $-\frac{1...

Polynomial DivisionAlgebraic Manipulation
2025/4/21

Simplify the expression: $\frac{1}{3}a^2b - \frac{3}{5}ab^2 + \frac{3}{8}a^2b^2 - \frac{5}{3}ab$

PolynomialsSimplificationAlgebraic Expressions
2025/4/21

The problem is to simplify the expression $\frac{1}{3}a^2b - \frac{3}{5}ab^2 + \frac{3}{8}a^2b - \fr...

PolynomialsSimplificationAlgebraic ExpressionsCombining Like TermsFractions
2025/4/21

The problem is to simplify the following expression: $(3a^2b - 5ab^2 + 8a^2b^2) / (-ab) + (3x^4y^3 -...

PolynomialsSimplificationAlgebraic Expressions
2025/4/21

The problem 15 is to divide the polynomial $a^2b - ab^2 + \frac{3}{8}a^2b^2$ by $-\frac{5}{3}ab$. Th...

Polynomial DivisionAlgebraic Manipulation
2025/4/21

Simplify the expression: $\frac{2}{3}x^4y^3 - \frac{1}{5}x^3y^2 + \frac{1}{4}xy - \frac{1}{5}xy^2$

PolynomialsSimplificationAlgebraic Expressions
2025/4/21

The problem requires simplifying the expression: $\frac{1}{3}a^2b - \frac{3}{5}ab^2 + \frac{3}{8}a^2...

PolynomialsSimplificationAlgebraic Expressions
2025/4/21

The problem is to divide the polynomial $\frac{1}{3}y^5 - \frac{2}{3}y^3 + \frac{3}{8}a^2b^2$ by $\f...

Polynomial DivisionAlgebraic Manipulation
2025/4/21

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

ExponentsSimplificationAlgebraic Expressions
2025/4/21

The problem is to simplify the expression: $(\frac{-2a^2b^{\frac{3}{4}}}{12a^3b^{\frac{1}{2}}})^2$

ExponentsSimplificationAlgebraic ExpressionsFractional Exponents
2025/4/21