Factor 4ax^3+8a^2x^2-12a^3x

$4 a x^{3} + 8 a^{2} x^{2} - 12 a^{3} x$

Factor $4 a x$ out of $4 a x^{3} + 8 a^{2} x^{2} - 12 a^{3} x$ .

Factor $4 a x$ out of $4 a x^{3}$ .

$4 a x (x^{2}) + 8 a^{2} x^{2} - 12 a^{3} x$

Factor $4 a x$ out of $8 a^{2} x^{2}$ .

$4 a x (x^{2}) + 4 a x (2 a x) - 12 a^{3} x$

Factor $4 a x$ out of $- 12 a^{3} x$ .

$4 a x (x^{2}) + 4 a x (2 a x) + 4 a x (- 3 a^{2})$

Factor $4 a x$ out of $4 a x (x^{2}) + 4 a x (2 a x)$ .

$4 a x (x^{2} + 2 a x) + 4 a x (- 3 a^{2})$

Factor $4 a x$ out of $4 a x (x^{2} + 2 a x) + 4 a x (- 3 a^{2})$ .

$4 a x (x^{2} + 2 a x - 3 a^{2})$

Factor by grouping.

For a polynomial of the form $a x^{2} + b x + c$ , rewrite the middle term as a sum of two terms whose product is $a \cdot c = - 3 \cdot 1 = - 3$ and whose sum is $b = 2$ .

Reorder terms.

$4 a x (- 3 a^{2} + x^{2} + 2 a x)$

Reorder $x^{2}$ and $2 a x$ .

$4 a x (- 3 a^{2} + 2 a x + x^{2})$

Factor $2$ out of $2 a x$ .

$4 a x (- 3 a^{2} + 2 (a x) + x^{2})$

Rewrite $2$ as $- 1$ plus $3$

$4 a x (- 3 a^{2} + (- 1 + 3) (a x) + x^{2})$

Apply the distributive property.

$4 a x (- 3 a^{2} - 1 (a x) + 3 (a x) + x^{2})$

Remove unnecessary parentheses.

$4 a x (- 3 a^{2} - 1 a x + 3 (a x) + x^{2})$

Remove unnecessary parentheses.

$4 a x (- 3 a^{2} - 1 a x + 3 a x + x^{2})$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$4 a x ((- 3 a^{2} - 1 a x) + 3 a x + x^{2})$

Factor out the greatest common factor (GCF) from each group.

$4 a x (a (- 3 a - 1 x) - x (- 3 a - x))$

Factor the polynomial by factoring out the greatest common factor, $- 3 a - 1 x$ .

$4 a x ((- 3 a - 1 x) (a - x))$

Factor.

Rewrite $- 1 x$ as $- x$ .

$4 a x ((- 3 a - x) (a - x))$

Remove unnecessary parentheses.

$4 a x (- 3 a - x) (a - x)$

Factor.

Factor $- 1$ out of $- 3 a - x$ .

Factor $- 1$ out of $- 3 a$ .

$4 a x (- (3 a) - x) (a - x)$

Factor $- 1$ out of $- x$ .

$4 a x (- (3 a) - (x)) (a - x)$

Factor $- 1$ out of $- (3 a) - (x)$ .

$4 a x (- (3 a + x)) (a - x)$

Remove unnecessary parentheses.

$4 a x \cdot - 1 (3 a + x) (a - x)$

Factor.

Combine exponents.

Factor out negative.

$- ((4 a x (3 a + x)) (a - x))$

Multiply $4$ by $- 1$ .

$- 4 ((a x (3 a + x)) (a - x))$

Remove unnecessary parentheses.

$- 4 a x (3 a + x) (a - x)$

Factor 4ax^3+8a^2x^2-12a^3x

Related Questions

Support LCMGCF.com by disabling your adblocker.