Simplify. (-m-3n)^3-(m-3n)^3

Mathematics

1 answer:

salantis [7]3 years ago

4 0

Answer: $-2m^3-54mn^2$

Step-by-step explanation:

$\left(-m-3n\right)^3-\left(m-3n\right)^3$

$=\left(-m^3-9m^2n-27mn^2-27n^3\right)-\left(m-3n\right)^3$

$=\left(-m^3-9m^2n-27mn^2-27n^3\right)-\left(m^3-9m^2n+27mn^2-27n^3\right)$

$=\left(-m^3-9m^2n-27mn^2-27n^3\right)-m^3+9m^2n-27mn^2+27n^3$

$=-2m^3-54mn^2$

You might be interested in

Please help 1 through 3

Wewaii [24]

Answer:

object is moving to the right with constant speed
object is moving to the left with constant speed
object was stationary for a while, then started moving to the right with constant speed

Step-by-step explanation:

These graphs are of position, so the slope of the graph is the change of position with time, which is velocity. When the slope is positive, the velocity is positive, meaning its direction is to the right. When the slope is negative, the velocity is negative, meaning its direction is to the left.

When the slope is zero, the object is stationary (not moving). The position remains as it was.

1. The position vs. time curve is a straight line with positive slope. The object is moving to the right with constant velocity.

2. The position vs. time curve is a straight line with negative slope. The object is moving to the left with constant velocity.

3. The position vs. time curve is flat for a while, then increasing with constant slope. The object stayed where it was for a while, then began moving to the right (to larger values of x) with constant velocity.

7 0

4 years ago

. The product of two integers is -84. One of them is 4, find the other integer.

Marina CMI [18]

Answer:

<h2>Answer :-</h2>

Product of two integers = - 84

One integer = 4

Other integer = x

$4 \times x = - 84 \\ 4x = - 84 \\ x = \frac{ - 84}{4} \\ x = - 21$