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Kyleigh Kling

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3y ago
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10y ago

216x3 - 8y3 = 8*(27x3 - y3) = 8*(3x - y)*(9x2 + 3xy + y2)

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Q: What is the answer for 216 xcube - 8 y cube?
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What is a cube root function?

The cube root function is the inverse of the cube function. So, given a number y, the cube root function seeks to find a number, x, such that multiplying 1 by that number 3 times gives y. [Note that this is equivalent to multiplying the number by itself two times, not three.] That is, cuberoot(y) = x <=> x^3 = y For example, 2*2*2 = 8 so the cube root of 8 is 2. 1.5^3 = 3.375 so the cube root of 3.375 is 1.5 (-3)^3 = -27 so the cube root of -27 is -3. The cube root of y is denoted by y^(1/3). It can also be written using the radical symbol like for a square-root, but the radical must be preceded by a superscript 3. Apologies, but this browser is crap and so I cannot show that representation.


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How do work out 216 feet in to square yards?

If a square box has a perimeter of 216, then you know that 4s=P P=216 216/4=s s=54 There's 3 feet per yard so 54/3=y y=18 182=324 yds2


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In mathematics, the notation "y3" typically represents the cube of the variable "y," which is equivalent to y * y * y. This is a shorthand way of denoting the result of multiplying y by itself three times. The cube of a number is the number raised to the power of 3.


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(y - 6)(y2 + 6y + 36)


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How do you factor y3-216?

For the problem, 3y-216, you need to look at what the common factors are in this problem. Since 216 doesn't contain a y, you only thing that may be factored out of both of these is a 3, since both 3y and -216 are divisible by 3. So, the answer would be: 3(y-72) You may check this is write by using distributive property to check your work.