What is factor 1-8a^3b^3 ?

The solution to factor 1-8a^3b^3 is (1-2ab)(1+2ab+4a^2b^2)

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factor 1-8a^3b^3

factor

1 - 8 a^{3} b^{3}

(1 - 2 ab) (1 + 2 ab + 4 a^{2} b^{2})

Solution steps

1 - 8 a^{3} b^{3}

Apply exponent rules

= 1 - (2 ab)^{3}

Apply Difference of Cubes Formula:

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

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

= (1 - 2 ab) (1^{2} + 1 \cdot 2 ab + (2 ab)^{2})

Simplify

1^{2} + 1 \cdot 2 ab + (2 ab)^{2} : 1 + 2 ab + 4 a^{2} b^{2}

= (1 - 2 ab) (1 + 2 ab + 4 a^{2} b^{2})

\frac{17}{14}

x (- 5 x^{2} + 4 x - 7)

(x - 10) (3 - x)

x + (x + 1) + (x + 2) + (x + 3)

x (x - 5) - 2 (5 - x)

What is factor 1-8a^3b^3 ?
The solution to factor 1-8a^3b^3 is (1-2ab)(1+2ab+4a^2b^2)