🧮 algebra

1. **State the problem:** Solve the equation $2370 - 19x = 2700 - (1350 - 15x)$. 2. **Apply the distributive property:** Remove the parentheses on the right side by distributing th

1. Задача: Проверить функцию $Y = 2X_\theta$ для воздуха, где $X$ изменяется в интервале $(0, \theta)$.\n\n2. Формула: $Y = 2X_\theta$ означает, что значение $Y$ в каждой точке рав

1. نبدأ بكتابة العبارة المعطاة: $$E = (5x - 1)^2 - (2x + 3)(5x - 1)$$

1. Planteamos el problema: Factorizar la expresión $$18a^3 - 8a(x^2 + 8x + 16)$$. 2. Observamos que ambos términos tienen un factor común: $$2a$$.

1. The problem asks to solve number 3, but since the exact problem statement is not provided, I will assume a typical algebra problem for demonstration. 2. Let's consider a common

1. **Problem:** Simplify the radical $\sqrt{63}$. 2. **Formula and rules:** To simplify a square root, factor the number inside into its prime factors and look for perfect squares.

1. **State the problem:** Which is the largest number between $\frac{3}{25}$ and $\frac{2}{9}$?

1. **State the problem:** Expand the expression $$(5+6x)(3+5x)$$. 2. **Formula used:** Use the distributive property (FOIL method) for binomials: $$(a+b)(c+d) = ac + ad + bc + bd$$

1. **State the problem:** Simplify the expression $ (6x - 5y)(2x - 3) $. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by each ter

1. **Problem statement:** Approximate the number 1.8 to a natural number $x$ in the interval $\mathbb{R}[-3,3]$ and analyze the function $$f(x) = \frac{5x + 10}{x + 3}$$ 2. **Formu

1. Masalah ini tidak spesifik, jadi saya akan bantu dengan contoh asas algebra. 2. Contoh: Selesaikan persamaan linear $2x + 3 = 7$.

1. The problem is to understand the relationship or pattern among the numbers 36.5, 125, 549, and 1000. 2. First, observe each number and consider common mathematical properties su

1. **State the problem:** Solve for $x$ in the equation $$\sqrt{\frac{(x+2)!}{x!}} = \sqrt{3!} \times 7.$$\n\n2. **Recall factorial properties:** The factorial function $n!$ is the

1. **State the problem:** Solve the equation $$(x-1)(x+1) = 4x - 5$$ for $x$. 2. **Use the distributive property (FOIL) on the left side:**

1. **Stating the problem:** We need to solve the equation $\frac{2x+4}{x-1} = 3$. 2. **Formula and rules:** To solve rational equations like this, multiply both sides by the denomi

1. **State the problem:** We need to find the equation of a line given its x-intercept is 2 and y-intercept is 2. 2. **Recall the intercept form of a line:** The equation of a line

1. **State the problem:** Expand the expression $ (5x - 2y)(3x + 4y) $. 2. **Formula used:** Use the distributive property (FOIL method) for binomials: $ (a + b)(c + d) = ac + ad +

1. **State the problem:** We need to find the equation of a line given its x-intercept and y-intercept, then graph it. 2. **Recall the intercept form of a line:** The equation of a

1. **State the problem:** Simplify the expression $$\left(\frac{10}{0.77x}\right)^2$$. 2. **Recall the rule:** When you have a fraction raised to a power, you raise both numerator

1. **State the problem:** Simplify the expression $ (x+y)(x-5y) $. 2. **Formula used:** Use the distributive property (also called FOIL for binomials):

1. **State the problem:** Solve the inequality $$\frac{(x - 1)(x + 6)}{x + 2} > 0$$ and express the solution in interval notation. 2. **Identify critical points:** The numerator is