What is factor a^2x-a^2-4b^2x+4b^2 ?

The solution to factor a^2x-a^2-4b^2x+4b^2 is (-1+x)(a+2b)(a-2b)

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factor a^2x-a^2-4b^2x+4b^2

factor

a^{2} x - a^{2} - 4 b^{2} x + 4 b^{2}

(- 1 + x) (a + 2 b) (a - 2 b)

Solution steps

a^{2} x - a^{2} - 4 b^{2} x + 4 b^{2}

Factor out common term

a^{2}

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

Rewrite as

= a^{2} (- 1 + x) - 4 b^{2} x + 1 \cdot 4 b^{2}

Factor out common term

4 b^{2}

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

Rewrite as

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

Factor out common term

(- 1 + x)

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

Factor

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

= (x - 1) (a + 2 b) (a - 2 b)

3 ab - 3 b c - a + c

a^{4} m + a^{4} n - b^{4} m - b^{4} n

3 sin^{2} (x) - 4 sin (x) - 4

x^{2 - 9}

x^{2} + 4 k x + (3 + 11 k)

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