Dividing algebraic fractions

8x^-3-125y^3/(2x+5y)^3 divided by 4x^2+10xy+25y^2/4x^2+20xy+25y^2

Solve by factoring and using the principal of zero products 4x^2= -11x-6. Write it Let f(x) = x^3 + 3x ^2+ 4x - 7 and g(x) = -7x^4 + 5x^3 +x^2 - 7.

               125y3 + 8x3 = { sum of cubes }
(2x)^3 + (5y)^3 = (2x+5y)(4x^2 - 10xy + 25y^2)
Answer
4x^2 - 10xy + 25y^2  it takes to long to through go through steps

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

Band c because if a graph has 3 negative parts and only 1 positive part it would be able to go in between the positive and negitive