🧮 algebra

1. **State the problem:** Find the value of the cube root of 28, denoted as $\sqrt[3]{28}$. 2. **Recall the definition:** The cube root of a number $a$ is a number $x$ such that $x

1. Stating the problem: Simplify and solve the equation $$\log_{10}(4p^2 + 1) - 2 \log_{10} p = \log_{10} 2 = 1$$. 2. Understand the notation: The expression $$\log_{10} 2 = 1$$ is

1. **State the problem:** Simplify the expression $$(3pq^2)^4 \times 2p\sqrt{q^8}$$ and express it in the form $$ap^bq^c$$ to find the constants $$a$$, $$b$$, and $$c$$. 2. **Simpl

1. The problem is to find the equation of a line that passes through the point $(-2,7)$ and has a slope of $4$. 2. Recall the point-slope form of a line: $$y - y_1 = m(x - x_1)$$ w

1. The problem shows a vertical list of numbers: 28, 39, -8, -56, and -9. 2. It appears you want to analyze these numbers or find something specific about them.

1. The problem is to add the fractions $\frac{1}{8}$ and $\frac{1}{12}$. 2. To add fractions, find a common denominator. The denominators are 8 and 12.

1. The problem is to understand what an exponent is. 2. An exponent refers to the number that indicates how many times a base is multiplied by itself.

1. The question "Is polynomial is the power?" seems unclear, but I will explain what a polynomial and a power mean in math. 2. A polynomial is an expression consisting of variables

1. Let's start by defining a polynomial. A **polynomial** is a mathematical expression consisting of variables (also called indeterminates) and coefficients, combined using additio

1. **Problem statement:** The price of softwood was £34 per metre square seven years ago. It decreased by 2% per annum for the 2 years before the last 5 years.

1. The problem states that the price of softwood increased 6% annually for the last 5 years and before that, it had decreased by 2% annually. 2. Let's denote the price at the initi

1. Let's denote the number of beads each girl started with as $x$ and $y$. Given that they used the same amount of beads to make their necklaces, this implies they took away the sa

1. The problem states that three girls, Devi, Esther, and Farah, each started with the same number of beads. Let that number be $x$ beads for each girl. 2. Devi used $\frac{2}{5}$

1. **Stating the problem:** We are given the equations: $$z = px + qy$$

1. The problem is to simplify the expression $$\frac{C}{B} = \frac{\frac{5}{2}}{\frac{7}{4}}$$ given that $$A \neq 0$$ which allows canceling $$A$$ in some similar context. 2. When

1. Let's start by defining the term polynomial. 2. A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

1. Let's clarify step 4 by reviewing previous steps to understand the context. 2. If you provide the exact problem or steps 1 to 3, I can explain step 4 clearly.

1. The leading coefficient of a polynomial is the coefficient of the term with the highest degree (the term with the largest exponent). 2. For example, in the polynomial $$5x^3 - 2

1. Problem (a): Simplify the expression $(2 + 5i) + (4 - i)$. Step 1: Add the real parts: $2 + 4 = 6$.

1. **State the problem:** We are given three numbers, A, B, and C.

1. We start with part (a): Find the sum $ (2 + 5i) + (4 - i) $. 2. Add the real parts: $2 + 4 = 6$.