Solving The Expression 10 2Y 2 Y 2 8Y 8

rozwiaz podane układy rownan metoda podstawiania a)x+2y=2 2xy=1 b from brainly.pl

Introduction

As a professional teacher, one of the most common problems that students encounter in math is solving expressions. One of the expressions that students often find challenging to solve is "10 2y 2 y 2 8y 8". In this article, we will break down the expression and provide a step-by-step guide on how to solve it.

Understanding the Expression

To solve the expression, we need to understand the terms in it. The expression has different terms separated by addition or subtraction signs. In this expression, we have several terms: 10, 2y, 2y^2, 8y, and 8.

The Constant Term

The constant term in the expression is 10. This means that it is a term that does not involve any variables. Therefore, we can consider it as a constant value that we can add or subtract from other terms in the expression.

Variables and Exponents

The expression also contains variables, represented by "y", and exponents, represented by "^". In this expression, we have the terms 2y^2 and 8y, which involve variables and exponents.

Solving the Expression

To solve the expression, we need to follow certain steps.

Step 1: Combine Like Terms

The first step to solving the expression is to combine like terms. Like terms are terms that have the same variable and exponent. In this expression, we have two terms with the variable "y": 2y and 8y. We can combine these terms by adding their coefficients, which are 2 and 8, respectively. Therefore, 2y + 8y = 10y.

Step 2: Simplify Exponents

The term 2y^2 in the expression involves an exponent. We can simplify this term by multiplying the coefficient, which is 2, by the exponent, which is 2. Therefore, 2y^2 = 4y.

Step 3: Combine Like Terms Again

Now that we have simplified the expression, we can combine like terms again. We have three terms left: 10, 4y, and 8. We can add these terms together to get the final answer. Therefore, 10 + 4y + 8 = 4y + 18.

Conclusion

In conclusion, solving expressions can be challenging, but by breaking down the expression into its terms and following the steps, we can arrive at the correct answer. In the case of "10 2y 2 y 2 8y 8", we simplified the expression by combining like terms and simplifying exponents. The final answer is 4y + 18.