🧮 algebra

1. The problem is to evaluate the expression when $X=1$. 2. Since the expression is not explicitly given, we assume the problem is to evaluate $X$ at $1$.

1. **Solve the inequality**: $-3x < 12$ and find the minimum integral solution for $x$. - Start with the inequality: $-3x < 12$.

1. **Stating the problem:** Simplify the expression $x^2 + 2x^2$. 2. **Formula and rules:** When adding like terms, add their coefficients and keep the variable part unchanged.

1. **State the problem:** We have a rectangular garden with length $x + 2$ meters and width $x - 3$ meters. There is a walkway of width 1 meter surrounding the garden on all sides.

1. **Problem Statement:** Determine if multiplying a polynomial of degree 3 by a polynomial of degree 2 results in a polynomial of degree 6. 2. **Relevant Formula:** When multiplyi

1. **Problem Statement:** A seller buys an electric appliance for 5000 and wants to earn a profit of 20%. He marks the selling price accordingly. If the customer pays outright, a d

1. **State the problem:** Expand and simplify the expression $$3x(2x^2 - x + 1) - (x^3 - 2x + 5)$$. 2. **Use the distributive property:** Multiply each term inside the parentheses

1. **State the problem:** We need to find the difference between the two polynomials \(5x^3 - 2x + 1\) and \(3x^3 + 4x - 5\) and verify if it equals \(2x^3 - 6x + 6\). 2. **Write t

1. **State the problem:** We need to find the sum of the polynomials $x^2 + 3x + 2$ and $2x^2 - 5x + 4$. 2. **Formula and rules:** Polynomial addition involves adding the coefficie

1. The problem asks us to find the marked price of an article. 2. The marked price is the original price before any discount is applied.

1. **Problem Statement:** A seller buys an electric appliance for 5000 and wants to earn a profit of 20%. He marks the selling price accordingly. If the customer pays outright, a d

1. **Problem statement:** Given that $a + \frac{1}{a} = \sqrt{5}$, find the value of $a^{4294967296} + \frac{1}{a^{4294967296}}$. 2. **Formula and important rules:** For any intege

1. **State the problem:** The user asked to "Solve it" but did not specify the equation or problem to solve. 2. **Clarification:** To provide a solution, I need the specific equati

1. **Problem:** Examine if the function $f : \mathbb{R} \to \mathbb{R}$ defined by $f(x) = 2x + 1$ is one-one and onto. 2. **One-one (Injective) test:** A function is one-one if $f

1. **State the problem:** We are given the expression $$\log_{\sqrt{ab}} \left( \frac{\sqrt{b^6}}{4 \sqrt{a^2}} \right) + \log_{\sqrt{ab}} \left( a \sqrt{a^2} \right)$$ and the inf

1. **State the problem:** We are given the equation of a line: $$y + 5 = 6x + 13$$ and asked to find the y-intercept of the line. 2. **Rewrite the equation in slope-intercept form:

1. **Problem Statement:** We want to prove that every amount of postage of at least 12 cents can be formed using only 4-cent and 5-cent stamps. 2. **Approach:** We will use mathema

1. مسئلہ بیان کریں: ہمیں ایکسپونینشل مساوات $esko$ کو حل کرنا ہے۔ 2. چونکہ $esko$ ایک غیر واضح اظہار ہے، براہ کرم واضح کریں کہ آپ کا مطلب کیا ہے یا مکمل مساوات فراہم کریں تاکہ ہم ا

1. Let's start by stating the problem: You want to solve an algebra problem, but no specific equation or expression was given. 2. In algebra, common problems include solving equati

1. **State the problem:** Solve the equation $$2^y - 3^{x-2} = 2$$ for variables $x$ and $y$. 2. **Understand the equation:** The equation involves exponential expressions with bas

1. **Problem Statement:** We want to prove that every amount of postage of at least 12 cents can be formed using only 4-cent and 5-cent stamps.