🧮 algebra

1. **State the problem:** Solve the equation $2x:5 - x:3 = 4$. 2. **Rewrite the problem with clearer notation:** The colon ":" here represents division, so the equation is $\frac{2

1. The problem is to simplify or understand the expression $8c^2 - 2b^@$. 2. Notice that the expression contains an invalid character '@' which is not a standard mathematical symbo

1. **State the problem:** Factor the quadratic expression $x^2 + 5x + 6$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers that multipl

1. **State the problem:** Simplify the expression $ab^2 - a^3$. 2. **Identify common factors:** Both terms have a common factor of $a$.

1. **State the problem:** Simplify or factor the expression $a^2b^2 - c^2$. 2. **Recall the formula:** This expression is a difference of squares, which follows the rule:

1. **State the problem:** Simplify the expression $1 - a^2$. 2. **Recall the formula:** The expression $1 - a^2$ is a difference of squares, which can be factored using the identit

1. **State the problem:** We need to find the equation of the line passing through the points $(-3, 2)$ and $(1, -6)$ in slope-intercept form, which is $y = mx + b$. 2. **Find the

1. **Problem:** Simplify the expression $$\frac{x^2 - 4x}{x - 2} \cdot \frac{2 - x}{x}$$ and describe any restrictions on the variables. 2. **Step 1: Factor expressions where possi

1. **State the problem:** We need to graph the line given by the equation $$y=\frac{2}{5}x+1$$ and list two points on the line, then describe the rise/run between those points. 2.

1. **State the problem:** Solve the inequality $$\left|\frac{1 - 3X}{5X - 2}\right| \geq 10$$. 2. **Recall the rule for absolute value inequalities:** For any expression $A$, $$|A|

1. **State the problem:** We need to find the point-slope form of a line with slope $m = -\frac{3}{4}$ passing through the point $(2, -5)$. 2. **Recall the point-slope form formula

1. The problem is to simplify the fraction $\frac{2}{2}$. 2. The formula for simplifying a fraction is to divide both numerator and denominator by their greatest common divisor (GC

1. The problem is to simplify the expression $^{\frac{2}{2}}$. 2. This expression appears to be a superscript notation without a base, which is incomplete or ambiguous in standard

1. **Stating the problem:** We are given the equation $$\frac{2x+3}{x-1} = 4$$ and need to solve for $x$. 2. **Formula and rules:** To solve rational equations, multiply both sides

1. The problem is to understand the letter "P" as it stands alone without additional context or mathematical expression. 2. Since "P" is a single letter, it could represent a varia

1. Vamos analisar a Questão 02, que pede para construir o gráfico de funções do segundo grau, determinando as raízes, o vértice, o ponto de interseção com o eixo y e a imagem da fu

1. We are asked to solve the inequality $$|x^2 - 2x - 3| < 3$$. 2. Recall that for any expression $A$, the inequality $|A| < b$ (where $b > 0$) means $$-b < A < b$$.

1. The problem is to find the value of $\sqrt{8704}$. 2. The square root of a number $x$ is a value $y$ such that $y^2 = x$.

1. **State the problem:** Simplify the expression $15x^2y - 10xy^3$. 2. **Identify common factors:** Both terms have common factors of $5xy$.

1. **State the problem:** Find the x- and y-intercepts of the equation $$y = 15x - 3$$. 2. **Recall the definitions:**

1. **State the problem:** Find the greatest common factor (GCF) of the polynomial expression $15x^2y - 10xy^3$. 2. **Recall the formula and rules:** The GCF of terms is the product