What is the completely factored form of 25x4 – 16y2?

(5x4 4y)(5x – 4y)

(5x3 4y)(5x2 – 4y)

(5x2 4y)(5x2 – 4y)

25x4 – 16y2

Step-by-step explanation:

has the form known as a difference of squares. It factors into (a+b)(a-b). To find a and b you take the square root.

The factored for is (a+b)(a-b).

In this case, it is

Step-by-step explanation:

Factor constant terms:

Divide both sides by -2:

Expand trigonometric functions using the fact:

So:

Factor sin(x) and constant terms and multiply both sides by -1:

Split into two equations:

For (1)

Add 1 to both sides and divide both sides by 8:

Take the inverse cosine of both sides:

For (2)

Simply take the inverse sine of both sides

Therefore, the solutions are given by: