最新の問題
The problem presents an equation involving $x^2$ and $y^2$: $\frac{-x^2}{9} = \frac{y^2}{4}$. We wan...
EquationsConic SectionsVariables
2025/3/22
The problem is to solve the equation $ -\frac{x^2}{9} = \frac{y^2}{4} $ for $x$ and $y$.
EquationsConic SectionsAlgebraic ManipulationSolutions
2025/3/22
$(x+1)(x^2-x+1)$ を展開し、簡単にしてください。
多項式展開因数分解式の計算
2025/3/22
The problem is to divide the polynomial $-21a^2b^3 + 21ab^3 - 7ab^2$ by the monomial $7ab^2$. We nee...
Polynomial DivisionSimplificationMonomial Division
2025/3/22
The problem asks us to divide the polynomial $9b^4 - 12b^3 - b^2$ by the monomial $3b^2$.
Polynomial DivisionMonomial DivisionAlgebraic Manipulation
2025/3/22
We are given the profit function $P(q) = 1200 - 10q - q^2$, where $q$ is the quantity of units produ...
Quadratic EquationsProfit FunctionFactoringProblem SolvingOptimization
2025/3/22
与えられた式 $x^2 - yz + zx - y^2$ を因数分解する。
因数分解多項式二乗の差共通因数
2025/3/22
与えられた数式の値を求める問題です。数式は次の通りです。 $\frac{4}{3}\pi\left(\frac{1}{2}\sqrt{\frac{k}{\pi+6}}\right)^3 + \left...
数式計算代数式変数累乗根整理
2025/3/22
The problem asks us to divide the polynomial $24x^4 - 8x^3 + 48x^2$ by the monomial $-8x$.
Polynomial DivisionMonomialAlgebraic Manipulation
2025/3/22
The problem asks us to divide the polynomial $20x^2 - 16x - 24$ by $4$. We need to simplify the expr...
PolynomialsDivisionSimplification
2025/3/22