What is factor 3-x^2+2abx^2-6ab ?

The solution to factor 3-x^2+2abx^2-6ab is (1-2ab)(3-x^2)

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factor 3-x^2+2abx^2-6ab

factor

3 - x^{2} + 2 ab x^{2} - 6 ab

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

Solution steps

3 - x^{2} + 2 ab x^{2} - 6 ab

Rewrite as

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

Factor out common term

3

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

Factor out common term

x^{2}

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

Rewrite as

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

Factor out common term

(1 - 2 ab)

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

6^{- 1}

x^{3} + 7 x^{2} + 6 x + 42

- 2 x - 13 = 8 x + 7

5 x + 24 > 2 (x - 9) - 3 x

- 1 \geq 7 x

What is factor 3-x^2+2abx^2-6ab ?
The solution to factor 3-x^2+2abx^2-6ab is (1-2ab)(3-x^2)