🧮 algebra

1. **Problem:** Select all pairs of numbers that have a product of 36. 2. **Formula:** The product of two numbers $a$ and $b$ is $a \times b = 36$.

1. Imagine you have a magic box that changes numbers with the rule $x^2 + x + 1$. Let's find out what it gives when $x = 1$! 🎁 2. First, we find $x^2$, which means $1$ times $1$:

Let's learn how to factor $x^2 - 4$! 🎉 1️⃣ Imagine you have $x^2$ like a big square box 📦 and $4$ like 4 small boxes 📦📦📦📦.

1. **State the problem:** We need to find the coordinates of the midpoint of points P and Q, where P and Q are the intersection points of the line $L: x - y = 3$ and the curve $C:

1. **Énoncé du problème :** Nous avons quatre droites avec des propriétés données. Après avoir trouvé l'équation de la 4e droite, nous devons déterminer la valeur de $W$ pour le po

1. The problem is to provide simple steps to solve a math problem (though the exact problem is not specified). 2. Since no specific problem is given, let's consider a simple algebr

1. The problem is to convert a linear equation into slope-intercept form. 2. The slope-intercept form of a line is given by the formula $$y = mx + b$$ where $m$ is the slope and $b

1. The problem is to add the two fractions $\frac{20}{15}$ and $\frac{4}{2}$.\n\n2. To add fractions, they must have a common denominator. The denominators here are 15 and 2.\n\n3.

1. The problem asks for the sum of the first $n$ integers, from 1 up to $n$. 2. The formula to find the sum of the first $n$ natural numbers is:

1. **State the problem:** Find the solutions of the quadratic equation $$2x^2 + 3x = -8$$. 2. **Rewrite the equation in standard form:** Move all terms to one side:

1. **State the problem:** Factor completely the quadratic expression $5x^2 - 50x + 120$. 2. **Identify the greatest common factor (GCF):** The coefficients 5, -50, and 120 all shar

1. **State the problem:** A teacher buys 24 notebooks and 24 packs of pencils for 24 students. Each notebook costs 4 and the total spent on notebooks and pencils is 220. 2. **Defin

1. **State the problem:** Solve the inequality $$(3x - 1)(2x - 3) \geq -2$$ and express the solution in interval notation. 2. **Rewrite the inequality:** Add 2 to both sides to get

1. The problem is to find the value of $T$. 2. Since no additional information or context is provided, we cannot determine $T$ without more details.

1. Masalah ini meminta kita untuk menjadikan beberapa bagian menjadi satu agar lebih mudah dipahami. 2. Dalam matematika, menggabungkan beberapa ekspresi atau langkah menjadi satu

1. Stwierdźmy problem: Obliczyć wartość wyrażenia $\left(2 - 3\sqrt{2}\right)^2$. 2. Użyjemy wzoru na kwadrat różnicy: $$ (a - b)^2 = a^2 - 2ab + b^2 $$

1. **Problem:** Jelaskan pemahaman terkait bentuk dan konsep matriks minor dan kofaktor serta berikan contoh perhitungannya. 2. **Penjelasan:**

1. Stwierdźmy problem: Obliczyć wartość wyrażenia $$(3 - \sqrt{2})^2 + 4(2 - \sqrt{2})$$. 2. Użyjemy wzoru na kwadrat sumy: $$(a - b)^2 = a^2 - 2ab + b^2$$.

1. **State the problem:** We are given the quadratic equation $$kx^2 - 4x + 36k = 0$$ and told it has two equal roots with $$k > 0$$. We need to find the value of $$k$$. 2. **Recal

1. **State the problem:** We have the quadratic equation $$x^2 - (m + 2)x + 3 = 0$$ and one root is the additive inverse of the other. We need to find the value of $$m$$. 2. **Reca

1. The problem asks to find the perimeter of a triangle with sides $2x + 4$, $3x - 2$, and $4x - 1$. 2. The perimeter of a triangle is the sum of the lengths of all its sides.