🧮 algebra

1. Planteamos el problema: desarrollar el binomio al cuadrado $$\left(6\sqrt{10}mn - 4\sqrt{2}p\right)^2$$. 2. Recordemos la fórmula para el cuadrado de un binomio: $$ (a - b)^2 =

1. El problema es evaluar la expresión: $$5(4^2) - 10[3(6-4) + 2]2$$. 2. Primero, recordemos las reglas de prioridad de operaciones: paréntesis y corchetes se resuelven primero, lu

1. The problem asks to determine which statement about the functions f and g is true based on their graphs. 2. From the description, g(x) is a parabola with vertex at (-2, 0) and p

1. **State the problem:** We have a quadratic function $g(x) = ax^2 + bx + c$ with roots at $x = -3$ and $x = -2$, and it passes through the point $(0, 12)$ on the y-axis. 2. **Use

1. **State the problem:** Find the equation of the line passing through points $(-7, -3)$ and $(-2, 4)$. 2. **Formula used:** The slope $m$ of a line through points $(x_1, y_1)$ an

1. **State the problem:** Find the equation of the line passing through the points $(-2,1)$ and $(4,6)$. 2. **Formula used:** The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

1. **State the problem:** Solve the inequality $$2n + 4 < 16$$ and graph the solution set. 2. **Write the formula and rules:** To solve inequalities, we isolate the variable on one

1. **State the problem:** Solve the inequality $$3n + 7 > 4$$ and determine which graph represents its solution. 2. **Write the inequality:** $$3n + 7 > 4$$

1. Let's start with a simple algebra quiz question to test your understanding. 2. Solve for $x$ in the equation $$2x + 5 = 15$$.

1. **State the problem:** We have a choir with 384 people total, consisting of sopranos (S), altos (A), tenors (T), and bases (B). We need to find the number of each. 2. **Write do

1. **Problem:** A landscape designer wants to arrange 7225 plants in a square formation with equal rows and columns. We need to find how many plants are in each row and how many ro

1. **Problem statement:** (a) Write each number 64, 1/16, and 2 in the form $4^r$ where $r \in \mathbb{Q}$.

1. **Problem:** Simplify the logarithmic expression $$\frac{2\sqrt{x} \cdot y^2}{3 \sqrt[3]{x}^4}$$. 2. **Recall the rules:**

1. Muammo: $\text{Tenglama: } \frac{(\frac{1}{4})^{\frac{3}{2}}}{\frac{4}{7} + 2} : \frac{7}{10} + ... + \frac{2}{22-25}$ ni hisoblang. 2. Formulalar va qoidalar:

1. **Problema 4:** Un comprimido de 2 g contiene 20% de aspirina, 35% de vitamina C y 45% de excipiente. ¿Cuánto contiene de cada componente? 2. **Fórmula:** Para calcular la canti

1. **State the problem:** Find the value of $x$ in the arithmetic sequence with first three terms: 6, $x$, -4.

1. **State the problem:** Simplify the expression $3(2i - i) + i(5 + 2i)$ and write it in the form $x + yi$ where $x$ and $y$ are real numbers. 2. **Recall the rules:**

1. **State the problem:** We are given a graph showing the outflow of water (in litres) from a tank over time (in hours). We need to find the gradient of the line, interpret it, an

1. Masalah: Jimmy memanjat batang pinang dengan beberapa langkah naik dan turun, dan kita diminta mencari tinggi batang pinang. 2. Misalkan tinggi batang pinang adalah $h$ meter.

1. The problem is to solve the first exercise from the set "All exercises" provided by the user. Since no specific exercise is given, I will solve a common algebraic problem: Solve

1. **Problem:** Solve the linear system: $$\begin{cases} x - y + 4z = 0 \\ x - 2y - 4z = 1 \\ 2x - 5y - 4z = 2 \end{cases}$$