🧮 algebra

1. **State the problem:** Simplify the expression $$\frac{3x^2 + 9x^2 y^2}{3x^2 y}$$. 2. **Write the expression clearly:** $$\frac{3x^2 + 9x^2 y^2}{3x^2 y}$$.

1. Résoudre dans IR les expressions suivantes : **a) |3x-1| = |x+6|**

1. **State the problem:** Determine the domain and range of the function $$f(x) = \frac{1}{x^2 - 4}$$. 2. **Domain:** The domain consists of all real numbers $x$ for which the func

1. **State the problem:** We are given two functions $u(x) = 5x + 7$ and $v(x) = 5x + 7$. We need to find the composite functions $(u \circ v)(x)$ and $(v \circ u)(x)$. 2. **Recall

1. **State the problem:** Factor the trinomial $$3x^2 + 23x + 14$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^2 + bx + c$$, we look for two numbers that m

1. **State the problem:** Factor the trinomial $$2x^2 + 11x + 5$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^2 + bx + c$$, we look for two numbers that mu

1. The problem asks which color of the line represents a given equation. 2. To solve this, we need to identify the equation of each colored line and compare it to the given equatio

1. **Problem Statement:** Factor the trinomial $$3x^2 + 14x + 8$$. 2. **Formula and Rules:** To factor a quadratic trinomial of the form $$ax^2 + bx + c$$, we look for two numbers

1. The problem is to analyze the linear function $y = 3x + 6$. 2. The formula for a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

1. **Problem A: Sketch the graph of the relation $y=1-x^3$.** 2. This is a cubic function where $y$ depends on $x$ as $y=1-x^3$.

1. The problem asks to sketch the graph of a relation, but no specific relation is given. 2. To sketch a graph, we need the equation or set of points defining the relation.

1. The problem is to sketch the function $y = \text{itt}$. However, "itt" is not a standard mathematical function or expression. 2. To proceed, please clarify or provide the exact

1. **Problem A: Sketch the graph of the relation $y=1-x^3$ and find its domain and range.** 2. The relation is given by the function $y=1-x^3$. This is a cubic function shifted ver

1. **Problem A:** Sketch the graph of the relation $y=1-x^3$ and find its domain and range. 2. The formula is $y=1-x^3$. This is a cubic function shifted up by 1.

1. **Problem Statement:** Given two functions $f(x) = 3x - 1$ and $g(x) = 2x + 5$, we need to find: (i) $fg(x)$ (composition of $f$ after $g$),

1. **State the problem:** Simplify the expression $$\frac{1}{2} \times \frac{4}{7} \times \left(\frac{1}{4} \times \frac{3}{8}\right) \div \frac{1}{8}$$. 2. **Recall the rules:**

1. **State the problem:** Factor the trinomial $$3x^2 + 14x + 8$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^2 + bx + c$$, we look for two numbers that mu

1. **State the problem:** Simplify the expression $$\frac{3}{4}\left(\frac{1}{2}+\frac{1}{8}\right) \div \frac{2}{1/4}$$. 2. **Simplify inside the parentheses:**

1. **State the problem:** Factor the trinomial $$5x^{2} + 31x + 30$$. 2. **Recall the factoring formula:** For a quadratic trinomial $$ax^{2} + bx + c$$, we look for two numbers th

1. **State the problem:** Simplify or factor the quadratic expression $15x^2 + x - 2$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers

1. The problem is to analyze the expressions (2x + 5) and (4x - 3). 2. We can explore their sum, difference, product, or quotient depending on the question, but since none is speci