What is a factor of x 3 64?

The factored form of x3 + 64 is (x + 4)(x2 – 4x + 16).

What is the first step when solving the equation x3 64?

Step 1 :Trying to factor as a Difference of Cubes The middle term is, +4x its coefficient is 4 . Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 4 .

Which is a factored form of 27×3 64?

Algebra Examples Rewrite 27×3 27 x 3 as (3x)3 ( 3 x ) 3 . Rewrite 64 as 43 . 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=3x a = 3 x and b=4 .

What is the formula of a3 b3?

a3 + b3 = (a + b) (a2 – ab + b2 ).

How do you factor x 3 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 x2 64?

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What factoring technique you have to use to solve for the factors of 27×3 343?

2 Answers

1. 27×3+343 is a sum of cubes and factorises, in general, as follows.
2. ⇒27×3+343=(3x+7)(9×2−21x+49)
3. solve : 3x+7=0⇒x=−73.
4. solve : 9×2−21x+49=0.
5. The only real solution is therefore x=−73.

Which of the following is the factor of 27x 3 8?

For example, the factored form of 27×3 – 8 (a = 3x, b = 2) is (3x – 2)(9×2 + 6x + 4).

What is the value of 3 root 64?

4
The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4.

What is the real root of X3 – 64 = 0?

Therefore, the real root of the equation x 3 − 64 = 0 is for x = ∛64 = 4. Example 2: The volume of a spherical ball is 64π in3. What is the radius of this ball?

What is the value of the cube root of 64?

The value of the cube root of 64 is 4. It is the real solution of the equation x 3 = 64. The cube root of 64 is expressed as ∛64 in radical form and as (64) ⅓ or (64) 0.33 in the exponent form. As the cube root of 64 is a whole number, 64 is a perfect cube.

What is the cube root of a number?

The cube root of a number is basically the root of a natural number which is cubed. It is a reverse method of evaluating the cube of a number. Say, x 3 = y, then 3 √y = x. Let us say, ‘m’ is equal to 3 √64, then m × m × m = m 3 = 64 (as per the definition of the cube).

What is the prime factorization of 64 using exponents?

1 Determine the prime factorization of 64 i.e. 64 = 2 × 2 × 2 × 2 × 2 × 2 2 Group the prime factors of 64 in groups of three each. 3 Use the law of exponents: 64 = 2 3 × 2 3 = 4 3 4 Take the cube root on both sides of the equation.