Multiply then simplify, that's doing the same work twice...anyway
x^3+x^2y+xy^2-x^2y-xy^2-y^3
x^3-y^3 which if factored is:
(x-y)(x^2+xy+y^2) which is what you started with :)
Width: x
Length: 2x
Perimeter=2x+2x+x+x=6x
32 cm more than width means x+32
6x=x+32
5x=32
x=6.4
Dimension is 6.4×12.8 (width×length)
Answer:
I think b) is the answer I solve it but
Yes, you got it! You would need to set the equations equal to each other, because that represents when their populations are the same. Then, solving for x will find the time in months until you reach that equilibrium in population. If you need help solving for x, just comment on this. Hope it helps!
=[(sinx/cosx)/(1+1/cosx)] + [(1+1/cosx)/(sinx/cosx)]
=[(sinx/cosx)/(cosx+1/cosx)]+[(cosx+1/cosx)/(sinx/cosx)]
= [sinx/(cosx+1)] + [(cosx+1)/sinx]
= [sin^2x+(cosx+1)^2] / [sinx (cosx+1)]
= [2+2cosx] / [sinx(cosx+1)]
=[2(cosx+1)] / [sinx (cosx+1)]
= 2/sinx
= 2 cscx
(I think this will be helpful for you. if you can see the picture, it has more detail in it.)