What are the factors of Y 3 64?

What are the factors of Y 3 64?

y3−64 is a difference of cubes, a3–b3=(a–b)(a2+ab+b2) , where a=y and b=4 .

How do you factor x3 y3?

Factorization of x3 + y 3

  1. It can be seen in most book that x3 + y3 can be factorized by dividing the expression by (x + y). After division we get a quotient of (x2 – xy + y2) with no remainder.
  2. However, this method involves knowing the factor (x + y) beforehand (and the understanding of Factor Theorem).

What is the factors of 4x² 49?

Rewrite 4×2 4 x 2 as (2x)2 ( 2 x ) 2 . Rewrite 49 as 72 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=2x a = 2 x and b=7 .

Which is not a factor of 64?

The factors of 64 are 1, 2, 4, 8, 16, 32, 64 and its negative factors are -1, -2, -4, -8, -16, -32, -64.

What is the formula of x3 +y3?

Solution : We know that x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx). If x + y + z = 0, then x3 + y3 + z3 – 3xyz = 0 or x3 + y3 + z3 = 3xyz.

How do you factor 64?

64 is a composite number, and it is 8 squared. 64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64. Prime factorization: 64 = 2 x 2 x 2 x 2 x 2 x 2, which can also be written 64 = 2⁶.

What is the value of A3 – B3 for 64?

Rewrite 64 64 as 43 4 3. Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 + ab+b2) a 3 – b 3 = ( a – b) ( a 2 + a b + b 2) where a = a a = a and b = 4 b = 4. Simplify.

How do you factor X3 + 64?

How do you factor completely x3 + 64? Both x3 and 64 = 43 are perfect squares. So we can use the sum of cubes identity:

How many perfect squares are there in 64 and X3?

Both x3 and 64 = 43 are perfect squares. So we can use the sum of cubes identity:

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