Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Just want to make sure I'm correct
![### Simplifying Polynomial Expressions
In this lesson, we will learn how to simplify a given polynomial expression step by step.
#### Given Expression:
\[ (-7x^2 + 5x - 4) - (4x^2 + 8x + 11) \]
#### Steps to Simplify:
1. **Distribute the Negative Sign:**
When you have parentheses preceded by a negative sign, you distribute the negative sign through the terms inside the second set of parentheses.
\[
(-7x^2 + 5x - 4) - (4x^2 + 8x + 11)
\]
This becomes:
\[
-7x^2 + 5x - 4 - 4x^2 - 8x - 11
\]
2. **Combine Like Terms:**
- Combine the \(x^2\) terms:
\[
-7x^2 - 4x^2 = -11x^2
\]
- Combine the \(x\) terms:
\[
5x - 8x = -3x
\]
- Combine the constant terms:
\[
-4 - 11 = -15
\]
3. **Write the Simplified Expression:**
After combining all like terms, we get:
\[
-11x^2 - 3x - 15
\]
Therefore, the simplified form of the given polynomial expression is:
\[ -11x^2 - 3x - 15 \]
In this process, we applied the distribution property to handle the negative sign and then combined like terms to simplify the expression.
This example illustrates the process of simplifying polynomials by distributing and combining like terms. Make sure to practice with various expressions to become proficient at these techniques.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb6a3e0a-0e9e-4eb9-b3f8-cac67ff0b1b6%2Fb11bd9f9-5a96-4b8c-9a42-c4f40ed5c581%2Frpukj94.jpeg&w=3840&q=75)
Step by step
Solved in 2 steps with 2 images
