0
Fortunately, one of the three roots of 27y3 - 1 is really obvious, y = 1/3. Therefore we can pull (y - 1/3) out of the expression giving us:
(y - 1/3)(27y2 + 9y +3).
Using the quadratic formula on the second multiplicative expression gives:
[-9 ± √(-243)]/54 = (-9 ± 9i√3)/54.
So the complete, factored form of 27y3 - 1 is:
(y - 1/3)[y - (9 + 9i√3)/54][y - (9 - 9i√3)/54].
What else can I help you with?
How do you factor the expression x cubed minus 8?
(x3 - 8) is factored thus: (x - 2)(x2 + 2x + 4) The easiest way to do this is to remember the formula: (a3 - b3) = (a - b)(a2 + ab + b2)
What is and equivalent expression for a times a squared?
A cubed
An expression of the form 5 cubed?
5x5x5
What is p cubed in a expression?
Oh, dude, like, when you see p cubed in an expression, it means you're multiplying p by itself three times. So, it's like p * p * p. It's just a fancy math way of saying "Hey, let's make p hang out with itself a couple more times."
How do you factor the expression x cubed minus 64 equals 0?
(x - 4)(x^2 + 4x + 16)
What is the factored form of 6 cubed?
The number 6 can be factored into 2 x 3. So 6 cubed can be factored into 2 cubed times 3 cubed. In either case, the result is equal to 216.
When 3 cubed - 4a is factored completely what is the result?
-1
Can x cubed plus 25 be factored?
no
How do you factor the expression t plus 3 cubed?
(t+3)3 is already factored. Could write it as (t+3)(t+3)(t+3).
What is 7 cubed factored form?
It is 7*7*7.
Factor a cubed plus B-Cubed?
The expression a^3 + b^3 can be factored using the sum of cubes formula, which states that a^3 + b^3 = (a + b)(a^2 - ab + b^2). Therefore, a^3 + b^3 can be factored as (a + b)(a^2 - ab + b^2). This formula helps us break down the sum of two cubes into a product of binomials, simplifying the expression.
What is the factored form of 5 cubed?
5x5x5 5x5x5 5x5x5 5x5x5
What is the factored form of 2 cubed?
2 x 2 x 2 = 8
How do you factor the expression x cubed minus 8?
(x3 - 8) is factored thus: (x - 2)(x2 + 2x + 4) The easiest way to do this is to remember the formula: (a3 - b3) = (a - b)(a2 + ab + b2)
What is and equivalent expression for a times a squared?
A cubed
What is the expression for four squared divided by two cubed?
The expression is 42/23
Factor 2a cubed plus 54?
2a^3 + 54 can first be factored into 2 (a^3 + 27). This can then be factored out to 2 (a + 3) (a^2 - 3a + 9).
