🧮 algebra

1. **State the problem:** Find the fourth term in the expansion of $\left(2x - \frac{1}{x}\right)^{10}$.\n\n2. **Formula used:** The binomial expansion of $(a + b)^n$ is given by $

1. The problem is to understand how $\frac{1}{2} - \frac{1}{16}$ becomes $\frac{8}{16} - \frac{1}{16}$. 2. To subtract fractions, they must have the same denominator (bottom number

1. The problem is to understand how $\frac{1}{2} - \frac{1}{16}$ becomes $\frac{8}{16} - \frac{1}{16}$. 2. To subtract fractions, they must have the same denominator (bottom number

1. نبدأ ببيان المسألة: المطلوب هو استبعاد النسبة والموضة على المجال $\mathbb{R}^+ \cup \{1\} - L1$. 2. نستخدم الدالة المعطاة: $f(0) = e + 1 + 1 + 1 + 1 - 1$.

1. **State the problem:** Solve for $x$ in the equation $3x - 7(-4x + 5) = 6$. 2. **Apply the distributive property:** Multiply $-7$ by each term inside the parentheses:

1. **State the problem:** Solve the equation $-13x = -18$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ by dividing both sides of the equation by the

1. The problem is incomplete, but it seems you want to discuss an exercise involving a variable or concept "a". 2. Please provide the full problem statement or question so I can as

1. **Problem:** Consider the sequence defined by the recurrence relation $$a_{n+2} = 3a_{n+1} - 2a_n$$ with initial terms $$a_1 = 2$$ and $$a_2 = 5$$. Find an explicit formula for

1. **Problem Statement:** Given the functions $f(x) = 2x^3 - 5x^2 + 4x - 1$ and $g(x) = x^2 - 3x + 2$, find the composite function $h(x) = f(g(x))$ and simplify it.

1. **Stating the problem:** Solve the equation $2x + 3 = 11$ for $x$. 2. **Formula and rules:** To solve a linear equation, isolate the variable on one side by performing inverse o

1. **State the problem:** We need to calculate $$(3.8 \times 10^7) + (5.2 \times 10^6)$$ and express the answer in standard form. 2. **Recall the rule for adding numbers in standar

1. The problem is to understand and analyze the equation $xux = yuy$. 2. This equation involves variables $x$, $y$, $u$ and possibly represents a relation or equality between two e

1. The problem is to solve the equation $2x + 3 = 7$ for $x$. 2. We use the basic algebraic principle of isolating the variable $x$ by performing inverse operations.

1. Bài toán yêu cầu giải câu 3 ý a, b, c (chỉ giải ý a theo quy tắc GUEST RULE). 2. Giả sử câu 3 ý a là một bài toán đại số hoặc hình học cơ bản (vì không rõ đề cụ thể).

1. **Énoncé du problème :** Déterminez l'ensemble de définition $S$ de la fonction $f(x) = 3x - \sqrt{2x + 5}$.

1. **State the problem:** Simplify the expression $99:(45-39+5)-25:5$. 2. **Understand the notation:** The colon ":" here represents division. So the expression is $\frac{99}{45-39

1. The problem is to evaluate the expression $\in - 3$. 2. Here, $\in$ is not a standard mathematical symbol or number. It might be a typo or a symbol from another context.

1. The problem is to find the value of the box (⬜) in the equation $2 \frac{2}{5} \times \square = \frac{2}{5}$. 2. First, convert the mixed number $2 \frac{2}{5}$ to an improper f

1. **State the problem:** Solve for the unknown in the equation $$2 \frac{2}{5} \times [\ ] = \frac{2}{5}$$. 2. **Convert the mixed number to an improper fraction:**

1. **State the problem:** Simplify the expression $3x^2 + x^2$. 2. **Formula and rules:** When adding like terms, add their coefficients and keep the variable part unchanged.

1. Muammo: Soddalashtiring: $$\sqrt{5} - 2\sqrt{6} - \sqrt{5} + 2\sqrt{6}$$ 2. Formulalar va qoidalar: Radikallarni qo'shish va ayirishda faqat ildiz ostidagi sonlar teng bo'lsa, u