🧮 algebra

1. **Simplify** $-5x^4 - 9y^3 + 3xy - 2x^2 + 11y^3 - 25xy$. Combine like terms:

1. The problem asks us to expand $ (10+2)^5 $ using the binomial theorem. 2. The binomial theorem states:

1. **State the problem:** Simplify the expression $$-5x^2 - 9y^3 + 3xy = - 2x^2 + 11y^3 - fxy$$ and find the value of $f$ such that both sides are equal. 2. **Collect like terms:**

1. The question seems to ask whether the answer could be $1.5$ or $-1.5$. 2. Without additional context or an equation to verify, we cannot confirm if $1.5$ or $-1.5$ is correct.

1. The problem asks for the average speed of the train between 30 and 40 minutes. 2. Average speed is calculated by the change in distance divided by the change in time:

1. Stating the problem: Solve the equation $$5x^5 - 5 = 0$$ for $x$. 2. Isolate the term with $x$: Add 5 to both sides to get $$5x^5 = 5$$.

1. Let's state the problem: simplify the expression $(3r-2s)(3r-2s)(3r-2s)(3r-2s)$. 2. Notice that this is the same factor $(3r-2s)$ multiplied by itself four times, so it is $(3r-

1. Stating the problem: Simplify the expression $$(3r - 2s)(3r - 2s)(3r - 2s)$$ which is the cube of the binomial $3r - 2s$. 2. Recognize that this is equivalent to $$(3r - 2s)^3$$

1. চলুন প্রথমে সমস্যাটি পরিষ্কার করি। আপনার প্রশ্নটি হলো, শেষে যেই 1/2 দ্বারা গুণ করা হয়েছিল তার ব্যাখ্যা কী। 2. সাধারণত 1/2 দ্বারা গুণ মানে হল কোনও মানকে দুই ভাগে ভাগ করা বা তার

1. Problem statement: Analyze and simplify the expression $1+\sqrt[n]{2}$ for integer $n\ge 1$. 2. Special case and direct evaluation.

1. The problem asks to find the slope of the line segment between the points $(-3, -6)$ and $(0, 7)$ in the Cartesian coordinate system. 2. Recall that the slope $m$ of a line pass

1. The problem presents a coordinate plane with x and y axes labeled from -7 to 7, and a line segment plotted roughly along $y = x$ from $(-5, -6)$ to $(5, 6)$. 2. We are asked to

1. The problem is to expand the binomial expression $(y-3)^4$. 2. Recall the binomial theorem for expansion:

1. Misalkan masalahnya adalah mencari nilai $\lfloor a \rfloor$ jika $13d = 2025$. 2. Dari persamaan, kita dapat mencari $d$ dengan membagi kedua sisi dengan 13:

1. Diketahui $13a = 2025$. Kita diminta mencari nilai dari $\lfloor a \rfloor$. 2. Langkah pertama, kita cari nilai $a$ dengan membagi kedua sisi persamaan dengan 13:

1. Le problème: Calculer la racine carrée de $3^2$. 2. Rappelons que $3^2$ signifie $3$ multiplié par lui-même: $$3^2 = 3 \times 3 = 9$$

1. The problem is to simplify or understand the expression given as \sqrt{3)x^2, which appears to have a typographical error in the square root. 2. Assuming the intended expression

1. Let's interpret the problem correctly: The user likely means to simplify or evaluate the expression $\sqrt{3} \times \sqrt{3}$. 2. Recall the multiplication property of square r

1. Stating the problem: Simplify and analyze the function $$y=(5-2x)^{-3} + \frac{1}{8} \left(\frac{2}{x} + 1\right)^4$$. 2. Understand each term: The first term is $(5-2x)^{-3}$ w

1. Planteemos la ecuación dada: $$\frac{3}{2(x-3)} + \frac{x-4}{(3-x)(4-x)} = 0$$ 2. Observemos los denominadores. Notemos que $$3-x = -(x-3)$$ y $$4-x = -(x-4)$$.

1. Planteamos la ecuación dada: $$\frac{1}{z} - \frac{1}{2z} - \frac{1}{5z} = \frac{10}{z+1}$$