最新の問題

The problem is to simplify the expression $\frac{1}{\sqrt{2} + 3}$. This involves rationalizing the ...

SimplificationRationalizationRadicalsAlgebraic Manipulation
2025/3/17

Simplify the expression $\frac{\sqrt{3}}{\sqrt{3} + \sqrt{2}}$.

RadicalsSimplificationRationalizationConjugate
2025/3/17

The problem is to simplify the expression $\frac{4}{5 - \sqrt{3}}$.

SimplificationRationalizationRadicalsAlgebraic Manipulation
2025/3/17

The problem is to simplify the expression $\frac{\sqrt{3}}{3\sqrt{5}}$.

SimplificationRadicalsRationalizationExponents
2025/3/17

The problem is to perform the division of 315 by 3. The expression is $315 \div 3$.

DivisionLong DivisionInteger Arithmetic
2025/3/17

The problem is to divide $35$ by $4$.

DivisionFractionsDecimalsRemainders
2025/3/17

The problem asks to solve the system of equations $y = -x + 3$ and $x + y = \frac{5}{2}$. We need to...

System of EquationsLinear EquationsSolution ExistenceParallel Lines
2025/3/17

Simplify the expression $\frac{(x^2+5x+4)(x-1)}{(x^2-1)}$.

Algebraic SimplificationPolynomialsFactorizationRational Expressions
2025/3/17

Simplify the expression $\frac{x^2 - 9}{x^2 + 5x + 6}$.

Algebraic SimplificationRational ExpressionsFactorizationDifference of SquaresQuadratic Expressions
2025/3/17

関数 $f(x) = x^2 - 7x + 4$ について、以下の2つの問いに答えます。 (1) $x$ が $-1$ から $2$ まで変化するときの平均変化率を求めます。 (2) $x = -1$...

微分平均変化率微分係数関数の微分
2025/3/17