🧮 algebra

1. **State the problem:** Simplify the expression $$ax^2 - a^3 - a^2 b + ab^2 + b^3 - b x^2$$. 2. **Group like terms:** Group terms with $x^2$ and those without:

Let's learn about the Greek letter sigma: $\sigma$! 🎉 1. Sigma $\sigma$ is a letter from the Greek alphabet. It looks like this: <span style='font-size: 2em;'>\sigma</span>

1. 문제를 이해하기: 사용자가 10학년 수준에서 설명을 요청했습니다. 구체적인 문제는 없으므로, 일반적인 수학 개념을 10학년 눈높이에 맞게 설명하겠습니다. 2. 예시 문제: 2차 방정식 $ax^2 + bx + c = 0$의 해를 구하는 방법을 설명하겠습니다.

1. مسئله را بیان می‌کنیم: عبارت $a^2 + b^2 - (a - b^2)$ را ساده کنیم. 2. ابتدا پرانتز را باز می‌کنیم: $a^2 + b^2 - a + b^2$

1. مسئله را بیان می‌کنیم: شما می‌خواهید یاد بگیرید چگونه یک مسئله را به صورت ساده حل کنید. 2. اولین قدم این است که مسئله را به دقت بخوانید و بفهمید چه چیزی خواسته شده است.

1. **State the problem:** Simplify the expression $a^2 + b^2 - (a - b^2)$. 2. **Recall the rule:** When subtracting a parenthesis, distribute the minus sign to each term inside: $-

1. **State the problem:** We are given two points A(7.83, 5541.37) and B(7.86, 6464.80) and need to find the equation of the line passing through these points in slope-intercept fo

1. مسئله را بیان می‌کنیم: سوال این است که عبارت $a^2 + b^2 - (a - b)^2$ را ساده کنیم.

1. **Énoncé du problème :** Résoudre le système linéaire suivant par la méthode de l'inverse de matrice : $$\begin{cases} 2x + y - z = 2 \\ x - y + z = 7 \\ x + 2y - z = -1 \end{ca

1. مسئله را بیان می‌کنیم: عبارت $a^2 + b^2 - (a - b)^2$ را ساده کنیم. 2. فرمول مورد استفاده: برای مربع تفاضل داریم:

1. **State the problem:** Find the equation of the blue line passing through points $(1,6)$ and $(3,10)$.\n\n2. **Formula used:** The equation of a line in slope-intercept form is

1. The problem is to graph the points A(7.83, 5541.37) and B(7.86, 6464.80) and verify the slope of the line given by the equation $y = 30781x - 246556.6$. 2. The slope formula bet

1. **State the problem:** Find the equation of the blue line passing through points (1,6) and (2,10). 2. **Formula used:** The equation of a line in slope-intercept form is $$y = m

1. **State the problem:** We need to find the equation of the blue line passing through points approximately (1, 2) and (2, 6). 2. **Formula used:** The equation of a line in slope

1. Énoncé du problème : Soient $x$ et $y$ deux réels tels que $|2 - 3x| < 2$ et $1 < \sqrt{2y + 1} < 3$.

1. Énoncé du problème : Soient $x$ et $y$ deux réels tels que $|2-3x|<2$ et $1<\sqrt{2}y+1<3$. Montrer que $0<x<\frac{4}{3}$ et $0<y<4$. Encadrer $x+y$, $xy$, $x-y$ et $y^2$.

1. **State the problem:** We are given two points: Point A $(7.83, 5541.37)$ and Point B $(7.86, 6464.80)$. We want to find the equation of the line passing through these points fi

1. **Stating the problem:** We need to find the equation of a line first using the point-slope form and then convert it to slope-intercept form. 2. **Point-slope form formula:** Th

1. **State the problem:** Find the equation of the line passing through points A(7.83, 5541.37) and B(7.86, 6464.80) using the slope-intercept form. 2. **Formula used:** The slope-

1. مسئله: استفاده از روش فیبونیوس و معادله مفسر برای حل یک مسئله ریاضی. 2. روش فیبونیوس: دنباله فیبونیوس به صورت زیر تعریف می‌شود:

1. The problem asks for the y-intercept of the polynomial function $$f(x)=(1-x)(x-2)(x+6)(x-10)$$. 2. The y-intercept of a function is the point where the graph crosses the y-axis.