🧮 algebra

1. The problem is to provide a math question as requested. 2. Since the user asked "just give me the question," here is a simple algebra question:

1. **State the problem:** Simplify the expression $$\frac{4x}{3y} - \frac{5y}{6x}$$. 2. **Find a common denominator:** The denominators are $3y$ and $6x$. The least common denomina

1. **State the problem:** Solve the equation $z^2 - 1 = 0$ and represent the solutions on an Argand diagram. 2. **Formula and rules:** The equation is a quadratic in complex number

1. **State the problem:** Find the equation of the tangent line to the ellipse $$4x^2 + 9y^2 = 40$$ that has a slope of $$-\frac{2}{9}$$. 2. **Recall the ellipse equation and impli

1. **Stating the problem:** We have a sequence of patterns made from tiles, where the number of tiles increases by the same amount each time. We want to find the number of tiles in

1. Masalah yang diberikan adalah menyederhanakan persamaan dengan membuka tanda kurung, khususnya pada ekspresi $x+2$. 2. Aturan penting: ketika membuka tanda kurung, setiap suku d

1. The problem is to find $f^{-1}(3)$ given the function $f(x) = x^2 + 2x + 1$. 2. First, understand that $f^{-1}(3)$ means we want to find the value of $x$ such that $f(x) = 3$.

1. Das Problem lautet: Löse die Gleichung oder Aufgabe, die du gestellt hast. Da keine konkrete Aufgabe angegeben wurde, erkläre ich, wie man eine einfache lineare Gleichung löst.

1. Diketahui persamaan linear satu variabel: $$4x - 7(x+2) = -5$$ 2. Tujuan: Tentukan nilai dari $$x - 2$$.

1. The problem states that the population was 4 million in 1980 and increased by 0.041 million each year until 2007. 2. We need to find the population 10 years after 1980, which is

1. 题目要求对表达式 $8 - m (m^{3} + 2m^{2} + m - 2)$ 进行因式分解。 2. 首先，展开括号内的乘法：

1. **State the problem:** Solve the equation $$3 - \frac{X}{2} + \frac{X}{4} - \frac{X}{8} = 4 - \frac{X}{16}$$ for $X$. 2. **Combine like terms on the left side:** The terms invol

1. نگاهی به مسئله می‌اندازیم: حل معادله $$-9(3-4y)-2(2y-3)=1-3y-5(7-y)$$. 2. ابتدا پرانتزها را باز می‌کنیم:

1. **State the problem:** Find the equation of the line passing through points $(-2, -8)$ and $(2, 8)$ in slope-intercept form $y = mx + b$. 2. **Find the slope $m$:** Use the form

1. **State the problem:** We need to find the equation of the line shown on the graph in slope-intercept form, which is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-inter

1. The problem is to simplify the expression $$\frac{m^3}{m^5}$$ using only positive exponents. 2. Recall the rule for dividing powers with the same base: $$\frac{a^m}{a^n} = a^{m-

1. **State the problem:** Simplify the expression $$\frac{m^9}{m^4}$$. 2. **Recall the rule for division of exponents with the same base:** When dividing powers with the same base,

1. **State the problem:** Solve the equation $2x + 6 = 15$. 2. **Use the formula and rules:** To solve for $x$, isolate $x$ by performing inverse operations. Subtract 6 from both s

1. **Stating the problem:** We are given the binomial coefficient expression $$\binom{r^3}{\frac{r}{t}}$$ and asked to find an equivalent expression.

1. **State the problem:** Simplify the expression $$\frac{m^3}{m^5}$$ using only positive exponents. 2. **Recall the exponent rule:** When dividing powers with the same base, subtr

1. Masalah yang ditanyakan adalah mengapa $9=3$. 2. Dalam matematika, tanda sama dengan $=$ menunjukkan bahwa dua nilai atau ekspresi memiliki nilai yang sama.