🧮 algebra

1. Stating the problem: Simplify the expression $$\sqrt[3]{54^7 n^9 x^{32}}$$ into the form $$A \sqrt[3]{B}$$ where $A$ and $B$ are simplified expressions. 2. Break down the cube r

1. The problem is to simplify the expression \(\frac{2x - 1}{x^2} + 1\sqrt{}\).\n 2. The expression \(1\sqrt{}\) is incomplete or unclear. Assuming you meant \(1 \times \sqrt{1}\),

1. The problem is to express $$\sqrt[3]{54r^9x^{32}}$$ in the form $$A\sqrt[3]{B}$$ where $$A$$ and $$B$$ are simplified such that $$B$$ has no perfect cube factors. 2. Start by fa

1. **State the problem:** We are given a 3x3 matrix:

1. The problem is to simplify the expression $\sqrt{27y^8}$ into the form $A\sqrt{C}$, where $A$ and $C$ are integers or monomials, and $y \geq 0$. 2. Start by factoring the radica

1. Let's first state the problem clearly: We need to explain problem 12 step by step in a clear and detailed manner. 2. Since the user did not provide the exact problem 12, I will

1. The problem is to simplify the expression \( \frac{x^2 + 1}{x^2 - 3} \). 2. First, observe the numerator and denominator:

1. **State the problem:** Simplify the expression $$\frac{3\sqrt{2}s}{3\sqrt{128}s^{13}}$$. 2. **Simplify the coefficients:** The 3 in numerator and denominator cancel out, so we h

1. State the problem: Simplify the expression $$3 \sqrt{54r^9 x^{32}}$$ into the form $$A \cdot 3\sqrt{B}$$ and find the values of $A$ and $B$. 2. Simplify inside the radical: Fact

Problem: Simplify the expression $5x^2 + 7x - 2x^2 + 9y + 8y^2 - 3x$. 1. Identify like terms.

1. **State the problem:** Simplify the given algebraic expressions and perform the indicated operations (multiplication and division) on the rational expressions. 2. **Expression 1

1. **State the problem:** Simplify the expression $a(\sinh(\frac{b}{a}) - \sinh(-\frac{b}{a}))$. 2. **Recall the property of hyperbolic sine:** $\sinh(-x) = -\sinh(x)$.

1. **State the problem:** We need to find the total money raised from selling 100 tickets, where adult tickets cost 18 and child tickets cost 12.5. 2. **Analyze the data:** The cum

1. **State the problem:** Simplify the expression $9x^2 - 16(2x - 3y)^2$. 2. **Expand the squared term:**

1. Problem: The perimeter of a rectangular plot is 860 m. Its length is 4 m more than its breadth. Find length and breadth. Step 1: Let breadth = $x$ m.

1. Zadání problému: Rozložte číslo na prvočísla. 2. Nejprve určete číslo, které chcete rozložit (uživatel neuvedl konkrétní číslo, proto uvedu příklad: 60).

1. Tentukan himpunan penyelesaian dari sistem persamaan: $$\begin{cases} x + y + z = -6 \\ x - y - z = 0 \\ x - y + z = -2 \end{cases}$$

1. Énonçons le problème : Simplifier l'expression $$\left( \frac{3a^2 b^3}{b^{-3}} \right)^{-1}$$ en utilisant les lois des exposants. 2. Simplifions l'intérieur de la parenthèse d

1. Énonçons le problème : Simplifier l'expression $$\left(\frac{3a^{2} b^{4}}{b^{-2}}\right)^{-1}$$ en utilisant les lois des exposants. 2. Appliquons la loi des exposants pour la

1. **Problem 1:** Given the hyperbola equation $$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$ and points $(4\sqrt{2}, 3)$ and $(8, 3\sqrt{3})$ lie on the locus, find $a$ and $b$. Also c

1. The problem is to simplify the expression $\frac{7}{4} - \frac{3}{2} : 2$. 2. Division by 2 can be rewritten as multiplication by $\frac{1}{2}$, so the expression becomes $\frac