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

The solution to factor a^3b^3x^3+1 is (abx+1)(a^2b^2x^2-abx+1)

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factor a^3b^3x^3+1

factor

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

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

Solution steps

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

Rewrite

a^{3} b^{3} x^{3}

(ab x)^{3}

= (ab x)^{3} + 1

Rewrite

1

1^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

1 + 27 e^{3 x}

(5 x + y)^{2} + (5 x + y) - 42

t^{2} - 1.4 t + 0.49

(m - 3)^{3} + (j - k)^{3}

x^{2} + 11 - 36

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