🧮 algebra

1. The first expression is $3x2^2 = 6H$. 2. Calculate the power term: $2^2 = 4$.

1. Stated problem: Simplify the expression $\frac{x^5+2x^3+3x+1}{x^3+1}$. 2. Factor the denominator $x^3+1$: Using the sum of cubes formula, $a^3+b^3=(a+b)(a^2-ab+b^2)$, we get

1. The problem is to simplify the expression $$\frac{x^5 + 2x^3 + 3x + 1}{x^3}$$. 2. We can simplify this by dividing each term in the numerator by $x^3$ separately:

1. The problem is to find the sum of the numbers $-760$, $320$, and $-80$. 2. Start by adding the first two numbers:

1. The problem is to find the net elevation change when moving 800 feet below, then 450 feet above, then 100 feet below, and finally 210 feet above. 2. Represent the changes as sig

1. Calculate $90 \div (3 \times 3) - 3^2$. First, inside the parentheses: $3 \times 3 = 9$.

1. We are given the polynomial expression: $$4x^4 + 0x^3 + 0x^5 + 5x + 7$$. 2. First, simplify the polynomial by removing terms multiplied by zero: $$4x^4 + 5x + 7$$.

1. **State the problem:** We are given the equation of a quadratic surface:

**Problem:** Solve the inequality given by $$2(3x + 2) - 20 > 8(x - 3)$$

1. The problem is to simplify the expression $$-54 - (-54)$$. 2. Recall that subtracting a negative number is the same as adding its positive counterpart, i.e., $$-(-54) = +54$$.

1. The problem asks us to evaluate the expression: $-13 - (-30)$. 2. Recall that subtracting a negative number is equivalent to adding its positive counterpart.

1. The problem states that 14 workers can build a wall in 42 days. We need to find how many days 1 worker will take to build the same wall. 2. Since 14 workers take 42 days, the to

1. Stating the problem: We know that 14 workers can build a wall in 42 days, and we need to find out how many days it will take for one worker to build the same wall. 2. Understand

1. Stating the problem: Solve the equation $-4x=4$ for $x$. 2. Isolate $x$ by dividing both sides of the equation by $-4$:

1. Énoncé du problème : Nous avons deux nombres rationnels non nuls $x$ et $y$ qui satisfont les équations :

1. **State the problem:** Simplify the expression $$\frac{2}{8} - \frac{13}{4} + \frac{17}{2} + 12$$. 2. **Simplify fractions where possible:** $$\frac{2}{8} = \frac{1}{4}$$, so th

1. Let's clarify the problem: it seems you're asking whether to factorize first in the expression or equation involving 2.2. 2. Generally, when solving algebraic problems or simpli

1. **State the problem:** We are given that $(a - b) = 5$ and $ab = 28$. We need to find the value of $a^3 - b^3$. 2. **Recall formula:** The difference of cubes can be factored as

1. Stating the problem: A pump fills a tank in 2 hours, but due to a leak, it takes 2.5 hours to fill the tank. We need to find how long the leak alone would take to empty the full

1. Given the problem: If $x + \frac{1}{x} = 11$, find the value of $x^2 + \frac{1}{x^2}$. 2. Start by squaring both sides of the equation to involve $x^2$ and $\frac{1}{x^2}$:

1. Énonçons le problème : Soient $x$ et $y$ deux réels. Nous avons deux conditions :