Solve x^3-64 | Microsoft Math Solver

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Factor

(x - 4) (x^{2} + 4 x + 16)

Solution Steps

x^{3} - 64

Rewrite

x^{3} - 64

as

x^{3} - 4^{3}

. The difference of cubes can be factored using the rule:

a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})

. Polynomial

x^{2} + 4 x + 16

is not factored since it does not have any rational roots.

(x - 4) (x^{2} + 4 x + 16)

Evaluate

x^{3} - 64

Graph

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10 problems similar to:

x^{3} - 64

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x^{3} - 64

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x3-64 Final result : (x - 4) • (x2 + 4x + 16) Step by step solution : Step 1 :Trying to factor as a Difference of Cubes: 1.1 Factoring: x3-64 Theory : A difference of two perfect cubes, ...

8 x^{3} - 64

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8x3-64 Final result : 8 • (x - 2) • (x2 + 2x + 4) Step by step solution : Step 1 :Equation at the end of step 1 : 23x3 - 64 Step 2 : Step 3 :Pulling out like terms : 3.1 Pull out like ...

6 x^{3} - 6

factor differently into irreducibles in

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https://www.quora.com/How-does-6x-3-6-factor-differently-into-irreducibles-in-mathbb-Z-x-compared-to-mathbb-Q-x

Consider factoring the element

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. If we insist that a "factorization" is a product of irreducible elements, then our factorization would have to be either

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Determine the irrational numbers

x

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are rational numbers

https://math.stackexchange.com/questions/917723/determine-the-irrational-numbers-x-such-that-both-x22x-and-x3-6x-are-ra

q = x^{2} + 2 x

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0 = x^{3} - 64

http://www.tiger-algebra.com/drill/0=x~3-64/

0=x3-64 Three solutions were found : x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i x = 4 Rearrange: Rearrange the equation by subtracting what is to ...

27 x^{3} - 64

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27x3-64 Final result : (3x - 4) • (9x2 + 12x + 16) Step by step solution : Step 1 :Equation at the end of step 1 : 33x3 - 64 Step 2 :Trying to factor as a Difference of Cubes: 2.1 ...

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\left(x-4\right)\left(x^{2}+4x+16\right)

Rewrite x^{3}-64 as x^{3}-4^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right). Polynomial x^{2}+4x+16 is not factored since it does not have any rational roots.

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