Evaluate the following expression using the values given: Find 2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.

The evaluated answer to this equation is 19.

Step-by-step explanation:

2r² + 3s³ - r² + 4t² - r²

In the problem, we are given values for the variables in the equation.

r = -2

s = -3

t = 5

Let's plug these numbers into the equation.

2(-2)² + 3(-3)³ - (-2)² + 4(5)² - (-2)²

First, simplify the exponents.

2(4) + 3(-27) - (4) + 4(25) - (4)

Next, multiply the numbers starting from left to right.

8 + (-81) - 4 + 100 - 4

Add 8 and -81 together.

-73 - 4 + 100 - 4

Subtract 4 from -73.

-77 + 100 - 4

Add -77 to 100.

23 - 4

Subtract 4 from 23.

19

So, your final simplified answer to this equation is 19.