Question

Evaluate 2y²(x+y) when x = 1 and y = 5

Answer 1

Answer:

12y²

Step-by-step explanation:

2y²(1 + 5)

1. Distribute

2y² + 10y²

2. Add Like Terms

12y²

Answer 2

Answer:

$\displaystyle 2y^2(x + y) = 300$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 2y^2(x + y) \\ x = 1 \\ y = 5$

Step 2: Evaluate

1. Substitute in variables [Equation]:                                                                   $\displaystyle \displaystyle 2y^2(x + y) = 2(5)^2(1 + 5)$
2. Exponents:                                                                                                        $\displaystyle \displaystyle 2y^2(x + y) = 2(25)(1 + 5)$
3. (Parenthesis) Add:                                                                                            $\displaystyle \displaystyle 2y^2(x + y) = 2(25)(6)$
4. Multiply:                                                                                                             $\displaystyle 2y^2(x + y) = 300$