Answer:

Explanation: For a general binomial expansion,

, we know that the powers have to add up to the initial power. This means that the power of x and power of y have to add up to n. This is the binomial theorem.
To further demonstrate this, let's use:

We can easily expand this. Using Pascal's Triangle, we get:

As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get:
The sine function is an odd function, so the sine of -30° is the opposite of the sine of 30°.
sin(30°) = 1/2
sin(-30°) = -1/2
The sine of 30° is greater than the sine of -30°.
Hey there!
You can figure this out by making 40% into a decimal. This decimal would be .4. So multiply 35 by .4. You get 14. So 14 is 40 percent of 35.
I hope this helps!
Answer:
r^2 + 6rs - 4rd - 2d^2 + 3s^2
Step-by-step explanation:
3(r+s)^2 - 2(r+d)^2
PEMDAS
parenthesis, exponents, multiplication, division, addition, subtraction
in that order
3( r^2 + 2rs + s^2 ) - 2(r^2+ 2rd + d^2)
3r^2 + 6rs + 3s^2 - 2r^2 - 4rd - 2d^2
r^2 + 6rs - 4rd - 2d^2 + 3s^2