Answer:
Cole has 15 pencils.
Step-by-step explanation:
First, we have the equation c + o =18, c representing cole, and o representing connor.
From there, we get 5o=c
Using substitiution, we get o=3
5(3)=15
15+3=18
Answer:
x³+3x²+3x+1
Step-by-step explanation:
=(x+1)(x+1)(x+1)
=(x+1)(x²+x+x+1)
=(x+1)(x²+2x+1)
=(x³+2x²+x+x²+2x+1)
=x³+3x²+3x+1
Recall that 2sin(x) cos(x) is actually equal to sin(2x).
We can prove this by expanding sin(2x) to sin(x + x).
sin(x + x) = sin(x) cos(x) + cos(x) sin(x) = 2sinxcosx
Thus, 2sin(x/2)cos(x/2) can be rewritten in the form:
sin(2x/2), and this simplifies down to sinx.
