Factor 168a^3w-14a^2yk-112a^3k+21a^2yw

$168 a^{3} w - 14 a^{2} y k - 112 a^{3} k + 21 a^{2} y w$

Factor $7 a^{2}$ out of $168 a^{3} w - 14 a^{2} y k - 112 a^{3} k + 21 a^{2} y w$ .

Factor $7 a^{2}$ out of $168 a^{3} w$ .

$7 a^{2} (24 a w) - 14 a^{2} y k - 112 a^{3} k + 21 a^{2} y w$

Factor $7 a^{2}$ out of $- 14 a^{2} y k$ .

$7 a^{2} (24 a w) + 7 a^{2} (- 2 y k) - 112 a^{3} k + 21 a^{2} y w$

Factor $7 a^{2}$ out of $- 112 a^{3} k$ .

$7 a^{2} (24 a w) + 7 a^{2} (- 2 y k) + 7 a^{2} (- 16 a k) + 21 a^{2} y w$

Factor $7 a^{2}$ out of $21 a^{2} y w$ .

$7 a^{2} (24 a w) + 7 a^{2} (- 2 y k) + 7 a^{2} (- 16 a k) + 7 a^{2} (3 y w)$

Factor $7 a^{2}$ out of $7 a^{2} (24 a w) + 7 a^{2} (- 2 y k)$ .

$7 a^{2} (24 a w - 2 y k) + 7 a^{2} (- 16 a k) + 7 a^{2} (3 y w)$

Factor $7 a^{2}$ out of $7 a^{2} (24 a w - 2 y k) + 7 a^{2} (- 16 a k)$ .

$7 a^{2} (24 a w - 2 y k - 16 a k) + 7 a^{2} (3 y w)$

Factor $7 a^{2}$ out of $7 a^{2} (24 a w - 2 y k - 16 a k) + 7 a^{2} (3 y w)$ .

$7 a^{2} (24 a w - 2 y k - 16 a k + 3 y w)$

Regroup terms.

$7 a^{2} (- 16 a k + 24 a w - 2 y k + 3 y w)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$7 a^{2} ((- 16 a k + 24 a w) - 2 y k + 3 y w)$

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

$7 a^{2} (8 a (- 2 k + 3 w) + y (- 2 k + 3 w))$

Factor.

Factor the polynomial by factoring out the greatest common factor, $- 2 k + 3 w$ .

$7 a^{2} ((- 2 k + 3 w) (8 a + y))$

Remove unnecessary parentheses.

$7 a^{2} (- 2 k + 3 w) (8 a + y)$

Factor.

Factor $- 1$ out of $- 2 k + 3 w$ .

Factor $- 1$ out of $- 2 k$ .

$7 a^{2} (- (2 k) + 3 w) (8 a + y)$

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

$7 a^{2} (- (2 k) - (- 3 w)) (8 a + y)$

Factor $- 1$ out of $- (2 k) - (- 3 w)$ .

$7 a^{2} (- (2 k - 3 w)) (8 a + y)$

Remove unnecessary parentheses.

$7 a^{2} \cdot - 1 (2 k - 3 w) (8 a + y)$

Factor.

Combine exponents.

Factor out negative.

$- ((7 a^{2} (2 k - 3 w)) (8 a + y))$

Multiply $7$ by $- 1$ .

$- 7 ((a^{2} (2 k - 3 w)) (8 a + y))$

Remove unnecessary parentheses.

$- 7 a^{2} (2 k - 3 w) (8 a + y)$

Factor 168a^3w-14a^2yk-112a^3k+21a^2yw

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