🧮 algebra

1. The given expression is $$8a^3 + 9a^2b^4 + 4an^7 + 5$$. 2. The terms are separated by plus signs: first term $$8a^3$$, second term $$9a^2b^4$$, third term $$4an^7$$, and fourth

1. The problem asks for the coefficient of the second term in the expression $8a^2$. 2. The expression $8a^2$ contains only one term, which is $8a^2$ itself.

1. The problem describes the inequality $-2 \leq q < 4$ which defines a range of values for $q$. 2. This inequality means $q$ is greater than or equal to $-2$, and at the same time

1. The problem asks to draw the double inequality $$4 < x < 8$$ on a number line. 2. This means we want to represent all numbers $x$ that are strictly greater than 4 and strictly l

1. We need to multiply the binomials $(4X - 3Y)(4X - 3Y)$. 2. Recognize that this is a square of a binomial: $(a - b)^2 = a^2 - 2ab + b^2$, where $a = 4X$ and $b = 3Y$.

1. The problem shows an interval on the number line from $-1$ to $3$. The open circle at $-1$ means $-1$ is *not* included in the interval. 2. The closed circle at $3$ means $3$ *i

1. Stating the problem: Solve the inequality $$5w + 8 \leq 3w + 14$$ for the variable $w$. 2. Subtract $3w$ from both sides to get all $w$ terms on one side:

1. The first expression is $2 \frac{1}{4} + 1 \frac{1}{5}$. Convert mixed numbers to improper fractions: $$2 \frac{1}{4} = \frac{9}{4}, \quad 1 \frac{1}{5} = \frac{6}{5}$$

1. The problem is to solve the equation $$400 = x^{10} + 40 = x^5 + 1$$. 2. It seems there is a mistake in writing: the equation should be clarified. One reasonable interpretation

1. **Problem c**: Simplify $4(3t + 2s) - 10(s - 2t)$ Step 1: Distribute the coefficients inside the parentheses:

1. Stating the problem: We have 14 workers who can build a wall in 42 days. We want to find out how many days it would take for one worker to build the same wall. 2. Understanding

1. Problem statement: A pump fills a tank in 2 hours, but with a leak, it takes 2.5 hours to fill the tank. Find the time in hours for the leak alone to empty the full tank. 2. Def

1. The user asks a question about the certainty of a sum. 2. To clarify, please provide the exact sum or problem you are referring to.

1. The problem states that 12 sheets of thick paper weigh 40 grams, and we want to find how many sheets weigh 1 gram. 2. First, find the weight of one sheet by dividing the total w

1. The problem is to simplify the fraction $\frac{405}{36}$ to its lowest terms. 2. First, find the greatest common divisor (GCD) of 405 and 36.

1. Stating the problem: We know 3 lambs finish eating the grass in 5 days. We want to find how many days 2 lambs will take to finish the same grass. 2. Understand that the work don

1. The problem is to understand the linear equation $y = mc + x$ and explore its components. 2. Here, $y$ is the dependent variable, $m$ and $c$ are constants, and $x$ is the indep

1. Stating the problem: We need to find the two possible values of $x$ that satisfy the equation $$\frac{54}{2x} = 3x.$$\n\n2. Start by simplifying the equation: $$\frac{54}{2x} =

**Problema:** Expande y simplifica los siguientes cuadrados de sumas usando la fórmula $ (a + b)^2 = a^2 + 2ab + b^2 $.\n\n1. Para $ (x + 2)^2 $:\n- Identificamos $ a = x $ y $ b =

1. The problem is to simplify the expression $$(\sqrt{2}+3)(\sqrt{2}-3)-2+9$$. 2. Start by expanding the product using the difference of squares formula: $$(a+b)(a-b) = a^2 - b^2$$

1. Задача: Розглянемо рівняння лінійної функції $y = 2x + 3$. Потрібно знайти значення $y$ при $x = 4$. 2. Підставляємо $x = 4$ в рівняння: