🧮 algebra

1. Planteamos el problema: Dividir el polinomio $$-20x^6u^6 + 24x^3u + 13x^4u^3$$ entre $$-4x^4u^3$$ y simplificar el resultado. 2. Recordemos que para dividir un polinomio entre u

1. **State the problem:** Solve the linear equation $-3 = \frac{6}{5} n$ for $n$. 2. **Formula and rules:** To solve for $n$, we need to isolate $n$ on one side of the equation. Si

1. **Problem statement:** Calculate the number of tickets sold at $6 each given the total tickets and total money collected. 2. **Step 1: Define variables and expressions.**

1. Il problema richiede di creare una piccola espressione con frazioni simile a quella dell'esercizio 6 della foto. 2. Consideriamo un'espressione con frazioni che coinvolge addizi

1. **State the problem:** Calculate $4.8 \times 10^6 + 3.7 \times 10^7$ and express the answer in standard form. 2. **Recall the standard form:** A number in standard form is writt

1. Il problema chiede di creare esercizi simili all'esercizio 6, quindi iniziamo definendo un esercizio tipo. 2. Supponiamo che l'esercizio 6 fosse risolvere un'equazione di primo

1. Problema este să calculăm cubul sumei $1 - 64t^{15}$. 2. Formula pentru cubul sumei a două expresii $a$ și $b$ este $$ (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 $$

1. The problem involves simplifying and factoring cubic expressions such as $100e^3 + 400 \, 40e + 16$, $125 + 216b^3$, and $429a^3 - 27b^3$. 2. Recall the sum and difference of cu

1. **Factorize completely:** (a)(i) Factorize $2r^2 - 8r$.

1. **State the problem:** Solve the equation $8p - p + 2 = 0$ for $p$. 2. **Combine like terms:** The terms with $p$ are $8p$ and $-p$. Combine them:

1. **Problem Statement:** (a) Factorize completely:

1. **Problem statement:** Given that $(x-1)$ and $(x+3)$ are factors of the cubic polynomial $$x^3 + ax^2 + bx + 12,$$ find the values of $a$ and $b$, the remaining factor, and the

1. **State the problem:** Solve the equation $8p_p + 2 = 0$ for $p$. 2. **Interpret the notation:** The expression $8p_p$ is ambiguous. Assuming it means $8p \cdot p$ (i.e., $8p^2$

1. Problema: Calcolare il valore delle espressioni date. 2. Formula e regole importanti:

1. **State the problem:** Simplify the expression $\frac{1}{2} \left( \frac{3}{2}x + \frac{1}{5} \right)$.\n\n2. **Recall the distributive property:** For any numbers $a$, $b$, and

1. **State the problem:** We need to find the equation of the trend line passing through the two yellow points on the scatter plot, which are approximately at $(5,1)$ and $(6,9)$.

1. **State the problem:** Simplify the expression $\frac{1}{2} \left( \frac{3}{2}x + \frac{1}{5} \right)$.\n\n2. **Recall the distributive property:** $a(b + c) = ab + ac$. We will

1. The problem is to understand what a logarithm is and how to work with it. 2. A logarithm answers the question: to what power must we raise a base number to get another number? T

1. **State the problem:** Express \(5 - 2\sqrt{10} \div 3\sqrt{5} + \sqrt{2}\) in the form \(m\sqrt{2} + n\sqrt{5}\) where \(m\) and \(n\) are rational numbers. 2. **Rewrite the ex

1. Énonçons le problème : Étudier le signe du polynôme $P(x) = -3x - 15$. 2. Rappel : Pour étudier le signe d'un polynôme du premier degré $ax + b$, on cherche les valeurs de $x$ p

1. **State the problem:** Express $8 - 3\sqrt{6}$ in the form $m\sqrt{3} + n\sqrt{2}$ where $m$ and $n$ are rational numbers. 2. **Recall the form:** We want to find rational numbe