🧮 algebra

1. نبدأ بكتابة المعادلة المعطاة: $$\frac{x^3}{4} = \frac{y}{z}$$. 2. الهدف هو التعبير عن $y$ بدلالة $x$ و $z$.

1. نبدأ بكتابة المعادلة المعطاة: $$x^{\frac{3}{4}} = y^{\frac{1}{2}}$$ وهي تعني أن الجذر التربيعي لـ $y$ يساوي $x$ مرفوعًا للقوة $\frac{3}{4}$. 2. نعلم أن $y^{\frac{1}{2}} = \sqrt{

1. **Problem statement:** Given the polynomial $$f(x) = x^{4} - 2x^{3} - 2x^{2} + a$$ and that it is divisible by $$x^{2} - 4x + 4$$, find the value of $$a$$ and show that $$f(x)$$

1. The problem is to evaluate an expression by substituting numbers without multiplying them. 2. Normally, substitution means replacing variables with numbers and then performing o

1. **Problem:** Factorise the expression $$x^2 - y^2 + yz - zx - 4x + 2y + z + 3$$. 2. **Formula and rules:** We use factoring techniques such as grouping, difference of squares, a

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 $y^2$.