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
What is y(squared) plus y(cubed)?
The expression y squared plus y cubed can be written as ( y^2 + y^3 ). This can be factored as ( y^2(1 + y) ). Thus, the combined expression represents a polynomial in terms of y.
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 x3 y3 called?
The expression ( x^3 y^3 ) can be referred to as "x cubed times y cubed." It can also be factored as ( (xy)^3 ), which is the cube of the product of ( x ) and ( y ). This form highlights the relationship between the variables and their exponents.
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
Is 3x cubed 5y cubed 14 simplified?
The expression (3x^3 + 5y^3 + 14) is already in its simplest form, as it consists of distinct terms that cannot be combined or factored further. Each term has different variables and powers, preventing any simplification through addition or factoring. Therefore, there are no common factors or like terms to simplify in this expression.
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)
