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Answer

The answer is: x3+64=(x+4)(x2−4x+16) . It’s easy if we remember the formula of sum of cubes, that says: x3+y3=(x+y)(x2−xy+y2) . In this case 64=43 .

               

People also ask, how do you factor X cubed 64?

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

Also Know, what are the factors of x2 − 64? Prime. (x − 4)(x + 16) (x − 8)(x − 8)

Thereof, how do you factor x cubed plus 1?

Algebra Examples 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=x and b=1 . Simplify. Multiply x x by 1 1 . One to any power is one.

What is the cube of 4?

Square, Cube, Square Root and Cubic Root for Numbers Ranging 0 – 100

Number x Square x2 Cube x3

5 25 125

6 36 216

7 49 343

8 64 512

There were 34 related questions and answers found.

What is sum cube?

A sum of cubes is a two-term expression where both terms are cubes and each term has the same sign. It is factored according to the following formula. Next, we’ll see how you can determine if an expression can be factored as a sum of cubes.

What is the formula of a cube plus B Cube?

The plus form is called the sum of cubes, and the formula for this form is this: a^3 + b^3 = (a + b)(a^2 – ab + b^2).

Can you factor x 2 9?

You cannot simplify x^2 + 9 with real numbers but you can use the imaginary number system. But if you are looking to evaluate the entire expression you should have (x+3)(x^2+9)=0 and if x=-3 then you have (0)(a quantity) or the zero product property.

               

Which number is a perfect cube?

A perfect cube is the result of multiplying a number three times by itself. We can also say that perfect cubes are the numbers that have exact cube roots. 1, 8, 27, 64, 125, 216, 343, 512, 729, 1,000, 1,331, 1,728, 2,197, 2,744, 3,375

How do you factor a polynomial with x 3?

To factor a cubic polynomial, start by grouping it into 2 sections. Then, find what’s common between the terms in each group, and factor the commonalities out of the terms. If each of the 2 terms contains the same factor, combine them. Finally, solve for the variable in the roots to get your solutions.

How do you factor Trinomials?

To factor a trinomial in the form x2 + bx + c, find two integers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

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