Which expression is equivalent to the given polynomial expression?

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

Answer:

C. -31m⁴n - 8m²

Step-by-step explanation:

Given:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Required:

Determine an expression equivalent to it

Solution:

(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

Distribute the negative sign to open the parentheses

9mn - 19m⁴n - 8m² - 12m⁴n - 9mn

Combine like terms

9mn - 9mn - 19m⁴n - 12m⁴n - 8m²

-31m⁴n - 8m²

Therefore, -31m⁴n - 8m² is an equivalent expression of (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)

You might be interested in

There are 20 entries in the chess tournament. How many ways can they finish in first, second,

Romashka [77]

Answer:

6840

Step-by-step explanation:

Here, the order matters (1st, 2nd, and 3rd), so we need to use permutations.

There are 20 people who can get in first place. After that, there are 19 people who can get in second place. Finally, there are 18 people who can get in third place. So:

20 * 19 * 18 = 6840

3 0

3 years ago

What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18

DanielleElmas [232]

$\text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3$