🧮 algebra

1. Problem: Simplify the expression $18x^6$ divided by $3x^2$. 2. Use the quotient rule for exponents: $\frac{a^m}{a^n}=a^{m-n}$, and divide the coefficients first.

1. **State the problem:** simplify $18x^6$. 2. **Use the rule for a monomial:** a coefficient times a power of a variable is already simplified unless there is something to combine

1. The problem is to understand what a function is and how it works. 2. A function is a relation between a set of inputs and a set of possible outputs where each input is related t

1) Soit la fonction linéaire $f$ définie par $f(x) = 2x$. 1.a) Calculer $f(3)$.

1. The problem is to solve the proportion $\frac{236}{100} = \frac{0.9316}{x}$ for $x$. 2. The formula for solving proportions $\frac{a}{b} = \frac{c}{d}$ is to cross-multiply: $a

1. The problem is to simplify the expression $$\sqrt[\sqrt[\sqrt[\frac{\binom{|x|\sum_{i=1}^n i^2 \cos x |x| \lceil x \rceil \int\int\int\int\int}{ } }{ }]{}]{}]{}$$. 2. First, obs

1. **State the problem:** Simplify the expression \( \frac{12p^2 - 93}{8p^2 - 29p + 40} \). 2. **Factor numerator and denominator:**

1. **State the problem:** Given the equation $$2x = \frac{2y^2 - 3z}{2}$$, express $$y$$ in terms of $$x$$ and $$z$$. 2. **Write down the formula and rules:** We want to isolate $$

1. **State the problem:** Solve the system of linear equations: $$-3x - 2y = -18$$

1. **Problem Statement:** (a) Complete the table for $y = x^3 - 4x^2 + 12$ at given $x$ values.

1. **Problem Statement:** (a) Complete the table for the function $$y = x^3 - 4x^2 + 12$$ at given values of $$x$$.

1. **Problema:** Risolvere la disequazione fratta $$\frac{-x^2 + x - 1}{x + 7} \geq 0$$. 2. **Formula e regole:** Per risolvere disequazioni fratte, analizziamo segno di numeratore

1. The problem is to factorise the numerator of a given expression. 2. To factorise a numerator, we look for common factors or use methods like grouping, difference of squares, or

1. **State the problem:** Simplify the rational function $$\frac{x^2 + x - 6}{x^2 - 7x + 10}$$. 2. **Recall the formula and rules:** To simplify a rational function, factor both nu

1. **State the problem:** Solve the two-step equation $$6x + 12 = 84$$ for $$x$$ where the solution is a positive integer. 2. **Formula and rules:** The general form of a two-step

1. **Problem a:** Löse die Gleichung $$4x + 6 = 7x + 3(2 - x)$$. 2. **Formel und Regeln:** Um lineare Gleichungen zu lösen, bringen wir alle Terme mit $x$ auf eine Seite und die Ko

1. **State the problem:** Simplify the expression $9 \times 9\sqrt{9} \div 4\sqrt{9}$. 2. **Recall the rules:** The square root of 9 is $\sqrt{9} = 3$. Multiplication and division

1. **State the problem:** Calculate the value of the expression $2 \times 4 - 5 \times 58693 - 4$. 2. **Recall the order of operations:** Multiplication and division are performed

1. Representa sin el signo “x” o “·” las siguientes expresiones algebraicas: - a) $15a$

1. **State the problem:** We need to multiply the binomial $(3x + y)$ by the trinomial $(x^2 + 2y + 4)$ and identify the correct terms in the multiplication chart. 2. **Formula and

1. **State the problem:** Find the product of the polynomials $a+3$ and $-2a^2+15a+6b^2$. 2. **Formula and rules:** To multiply polynomials, use the distributive property: multiply