Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

Simplify the cube root expression: $\sqrt[3]{\frac{8x^8y^9}{27}}$.

RadicalsExponentsSimplificationCube Roots
2025/4/15

The problem asks us to simplify the expression $\sqrt{\frac{28x}{25y^6}}$. We assume that all varia...

SimplificationRadicalsExponents
2025/4/15

The problem asks us to simplify the expression $(\sqrt{8x-3}+3)^2$, assuming that all variables repr...

Algebraic SimplificationRadicalsBinomial Expansion
2025/4/15

The problem asks to multiply and simplify the expression $(\sqrt{7} - 3\sqrt{3})^2$.

ExponentsSimplificationRadicalsExpanding Expressions
2025/4/15

The problem asks to multiply and simplify the expression $(\sqrt{2} + 3\sqrt{x})(4\sqrt{2} + 6\sqrt{...

Algebraic ExpressionSimplificationRadicalsDistributive Property
2025/4/15

The problem asks to multiply and simplify the expression $(5\sqrt{7} + \sqrt{11})(\sqrt{7} - 4\sqrt{...

SimplificationRadicalsAlgebraic Expressions
2025/4/15

We are asked to multiply and simplify the expression $(4 - \sqrt{2})(7 + \sqrt{2})$.

SimplificationRadicalsDistributive Property
2025/4/15

The problem asks to multiply and simplify the expression $-7\sqrt{a}(\sqrt{3b} + 5\sqrt{6})$. It is...

SimplificationRadicalsAlgebraic ExpressionsSquare Roots
2025/4/15

The problem is to multiply and simplify the expression $8\sqrt{a}(2\sqrt{b} - 6)$, assuming that all...

SimplificationRadicalsAlgebraic ManipulationSquare Roots
2025/4/15

The problem asks us to multiply and simplify the expression $(5x\sqrt{2x})(-9\sqrt{10xy})$. We assum...

SimplificationRadicalsExponentsAlgebraic Expressions
2025/4/15