Answer:
25x^2 -1
Step-by-step explanation:
If you multiply parentheses:
(5x*5x) + (5x*-1) + (1*5x) + (1*-1)
25x^2 - 5x + 5x -1
25x^2 -1
A simpler way is to memorize this formula
(Square1 - square2)= (sqrt of square1- sqrt of square2)*(sqrt of square1 + sqrt of sqaure2)
consider the numbers are x,2x,3x,4x,5x
Given;
(x+2x+3x+4x+5x)/5 = 11
15x = 55
x= 55/15 = 11/3
The numbers are
11/3, 22/3, 11, 44/3, 55/3
by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
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which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
The gcf of these two numbers is 1, because 189 and 200 don't have any common factors.
Answer:
Step-by-step explanation:
