🧮 algebra

1. **Énoncé du problème :** Écrire chaque expression donnée sous forme d'une seule puissance ou d'un produit de puissances simplifié. 2. **Rappel des règles importantes :**

1. **Énoncé du problème** : Trouver les expressions de $a_n$ et $b_n$ en fonction de $n$ en utilisant la relation $A^n = PD^nP^{-1}$, où $P$ est une matrice inversible, $D$ est une

Let's factor the expression $x^2 + 5x + 9$ step by step! 1️⃣ Imagine you have this expression: $x^2 + 5x + 9$

1. مسئله را بیان می‌کنیم: می‌خواهیم جذر مربع عدد 90 را حساب کنیم. 2. جذر مربع یک عدد، عددی است که اگر در خودش ضرب شود، عدد اصلی را بدهد.

1. نبدأ بكتابة المشكلة: نريد حساب الجذر التربيعي للعدد 90. 2. الجذر التربيعي لعدد ما هو العدد الذي إذا ضرب في نفسه يعطي العدد الأصلي.

1. نبدأ بذكر المشكلة: نريد حساب الجذر التربيعي للعدد 90. 2. نستخدم تعريف الجذر التربيعي: الجذر التربيعي لعدد ما هو العدد الذي إذا ضرب في نفسه يعطي العدد الأصلي.

1. نبدأ بذكر المشكلة: نريد حساب الجذر التربيعي للعدد 90. 2. نستخدم تعريف الجذر التربيعي: الجذر التربيعي لعدد ما هو العدد الذي إذا ضرب في نفسه يعطي العدد الأصلي.

1. **State the problem:** We need to find the value of $f(-2 - g(3))$ given the functions $f(x) = \frac{3}{4}x + 10$ and $g(x) = x^2 - 3$. 2. **Calculate $g(3)$:** Substitute $x=3$

1. **State the problem:** Factor the expression $x^2$. 2. **Recall the factoring rules:**

1. **State the problem:** We need to find the value of $x$ where $x = \log_{10} 40$. 2. **Recall the definition of logarithm:** $\log_{10} 40$ means the power to which 10 must be r

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:** 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:** Factor the expression $x^2$. 2. **Recall the factoring rules:** The expression $x^2$ is a perfect square of $x$, which means it can be written as $x \time

1. **State the problem:** Factor the expression $x^2$. 2. **Recall the factoring rules:**

1. **State the problem:** Factor the expression $x^2$. 2. **Recall the factoring rule:** The expression $x^2$ is a perfect square and can be factored as $x \times x$.

1. **Problem:** Given that $a$ varies directly with $b$, and $a=56$ when $b=8$, find: a) The constant of proportionality $k$.

1. **Problem:** Given that $a$ varies directly with $b$, and $a=56$ when $b=8$, find: a) The constant of proportionality $k$.

1. **State the problem:** Find the value of $\log_7^3 \left( 2^{10} \right)$. Here, the notation $\log_7^3$ means the logarithm base 7 of the number $2^{10}$, raised to the power 3

1. **State the problem:** Solve for $a$ in the equation $a - b = 4$. 2. **Formula and rules:** To isolate $a$, add $b$ to both sides of the equation. This uses the addition propert

1. **State the problem:** Determine the domain of the given graph, which starts with an open circle near $x = -10$ and ends with a closed circle near $x = 9$. 2. **Recall domain de

1. **Problem Statement:** Determine the range of the graph described. 2. **Understanding the Graph:** The graph starts at $(-5,6)$ with an open circle, goes down to about $(-2.5,-2