Answer:
sin 5x cos x - cos 5x sin x = sin(4x)
Step-by-step explanation:
Given that the trigonometric expression,
sin 5x cos x - cos 5x sin x
Here we use the "sum and difference formulas"
Sum and Difference Formulas
sin(A+B)=sin A cos B + cos A sin B
sin(A-B)=sin A cos B - cos A sin B
cos(A+B)=cos A cos B - sin A sin B
cos(A-B)=cos A cos B + sin A sin B
So,
sin 5x cos x - cos 5x sin x = sin (5x - x)
sin 5x cos x - cos 5x sin x = sin(4x)
That's the final answer.
If a binomial

is a factor of a polynomial, then

is a root of this polynomial.
Answer:
15
Step-by-step explanation:
The formula for factoring a sum of cubes is:

We have a=3f and b=5g here.
So a*b in this case is 3f*5g=15fg.
The ? is 15.
I only have the answer for 3 and i believe it is 20,090