What is factor a^3b^3c^3-64 ?

The solution to factor a^3b^3c^3-64 is (abc-4)(a^2b^2c^2+4abc+16)

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factor a^3b^3c^3-64

factor

a^{3} b^{3} c^{3} - 64

(ab c - 4) (a^{2} b^{2} c^{2} + 4 ab c + 16)

Solution steps

a^{3} b^{3} c^{3} - 64

Rewrite

a^{3} b^{3} c^{3}

(ab c)^{3}

= (ab c)^{3} - 64

Rewrite

64

4^{3}

= (ab c)^{3} - 4^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(ab c)^{3} - 4^{3} = (ab c - 4) ((ab c)^{2} + 4 ab c + 4^{2})

= (ab c - 4) ((ab c)^{2} + 4 ab c + 4^{2})

Refine

= (ab c - 4) ((ab c)^{2} + 4 ab c + 16)

Simplify

(ab c - 4) ((ab c)^{2} + 4 ab c + 16) : (ab c - 4) (a^{2} b^{2} c^{2} + 4 ab c + 16)

= (ab c - 4) (a^{2} b^{2} c^{2} + 4 ab c + 16)

3 sin (x^{2} - 1) - 5

2 + x - 2

ab - 3 b c - 2 a + 6 c

(x^{3} y^{3}) - 4 x^{5}

5^{2} \cdot 5^{5}

What is factor a^3b^3c^3-64 ?
The solution to factor a^3b^3c^3-64 is (abc-4)(a^2b^2c^2+4abc+16)