What is factor a^3b^3c^3+1 ?

The solution to factor a^3b^3c^3+1 is (abc+1)(a^2b^2c^2-abc+1)

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factor a^3b^3c^3+1

factor

a^{3} b^{3} c^{3} + 1

(ab c + 1) (a^{2} b^{2} c^{2} - ab c + 1)

Solution steps

a^{3} b^{3} c^{3} + 1

Rewrite

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

(ab c)^{3}

= (ab c)^{3} + 1

Rewrite

1

1^{3}

= (ab c)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(ab c)^{3} + 1^{3} = (ab c + 1) ((ab c)^{2} - ab c + 1)

= (ab c + 1) ((ab c)^{2} - ab c + 1)

Simplify

(ab c + 1) ((ab c)^{2} - ab c + 1) : (ab c + 1) (a^{2} b^{2} c^{2} - ab c + 1)

= (ab c + 1) (a^{2} b^{2} c^{2} - ab c + 1)

0.12 x + (- 0.34) y

[- 1.7]

20 + a^{2} - 21

x + (- 4)

What is factor a^3b^3c^3+1 ?
The solution to factor a^3b^3c^3+1 is (abc+1)(a^2b^2c^2-abc+1)