🧮 algebra

1. **State the problem:** Factor the expression $$9a^2x^3 - 16x^3$$.

1. **State the problem:** Simplify the fraction $\frac{144}{56}$. 2. **Formula and rules:** To simplify a fraction, divide numerator and denominator by their greatest common diviso

1. The problem is to find the value of $4 \frac{7}{8} \div \frac{1}{8}$. 2. First, convert the mixed number $4 \frac{7}{8}$ to an improper fraction. The formula is $a \frac{b}{c} =

1. **State the problem:** A catering company provided quiches, each cut into a certain number of pieces. After the luncheon, some pieces were left over. We need to find how many qu

1. **Problem statement:** Factor out the greatest common factor (GCF) from the term $2x^4 - x^3$. 2. **Identify the GCF:**

1. **State the problem:** Solve the equation $$\frac{2^x y}{2^x 5} + \frac{y}{2} \cdot \frac{x^5}{5} = 10$$ for $y$. 2. **Simplify the first term:** Since $2^x$ appears in both num

1. **State the problem:** We need to find the values of the square roots and cube roots without using a calculator. 2. **Recall the definitions:**

1. **State the problem:** Simplify the expression $$\frac{2x}{x-4} + \frac{3 \cdot 5}{2x-2}$$. 2. **Rewrite the expression:** The expression is $$\frac{2x}{x-4} + \frac{15}{2x-2}$$

1. **State the problem:** Simplify the expression $6x - 4$ if possible. 2. **Analyze the expression:** The expression $6x - 4$ is a linear expression with two terms: $6x$ and $-4$.

1. Problemet er at lægge brøkerne $\frac{10}{12}$ og $\frac{3}{12}$ sammen. 2. Når brøker har samme nævner, lægger vi blot tællerne sammen og beholder nævneren.

1. The problem is to find the product of $2y^2$ and $y^2$. 2. The formula for multiplying powers with the same base is $a^m \times a^n = a^{m+n}$.

1. **State the problem:** Multiply $2y^2$ by $2y^2$. 2. **Write the expression:**

1. **State the problem:** We need to find the values of voltages $U_1$, $U_2$, $U_3$, and $U_4$ given the system of equations: $$

1. **State the problem:** We need to find the average rate of change of the function $f(x)$ on the interval $-6 \leq x \leq -2$. 2. **Recall the formula:** The average rate of chan

1. **State the problem:** We need to find the average rate of change of the function $f(x)$ on the interval $-6 \leq x \leq -2$. 2. **Recall the formula:** The average rate of chan

1. The problem asks for the average rate of change of the function $f(x)$ on the interval $-2 \leq x \leq 0$. 2. The average rate of change of a function $f(x)$ over an interval $[

1. The problem asks for the average rate of change of the function $f(x)$ on the interval $-2 \leq x \leq 0$. 2. The average rate of change of a function $f(x)$ over an interval $[

1. 문제를 이해하기: 지난달 다솜이와 고은이의 휴대 전화 요금 합은 60000원입니다. 2. 변수 설정: 지난달 다솜이 요금을 $x$, 고은이 요금을 $y$라고 합시다.

1. 문제를 이해하기: 두 지점 A와 B 사이를 왕복하는데, 갈 때는 시속 4km, 올 때는 시속 5km로 달렸고 총 걸린 시간은 2시간입니다. 두 지점 사이의 거리를 구하는 문제입니다. 2. 변수 설정: 두 지점 사이의 거리를 $d$ km라고 합시다.

1. The problem asks to find the values of $x$ for which $g(x) = 2$ and $g(x) = -3$ given the function $g(x)$ is linear and passes through points $(-1, -1)$ and $(2, 2)$. 2. First,

1. **Problem statement:** Bestimmen Sie einen Funktionsterm 3. Grades, der durch die Punkte $P_1(0, -1)$, $P_2(1, 1)$, $P_3(-1, -7)$ und $P_4(\frac{1}{2}, -\frac{5}{8})$ verläuft.