Algebra Examples

$x^{2} (a - b) - 6 x (a - b) - 9 (b - a)$

Step 1

Apply the distributive property.

$x^{2} a + x^{2} (- b) - 6 x (a - b) - 9 (b - a)$

Step 2

Rewrite using the commutative property of multiplication.

$x^{2} a - x^{2} b - 6 x (a - b) - 9 (b - a)$

Step 3

Apply the distributive property.

$x^{2} a - x^{2} b - 6 x a - 6 x (- b) - 9 (b - a)$

Step 4

Rewrite using the commutative property of multiplication.

$x^{2} a - x^{2} b - 6 x a - 6 \cdot - 1 x b - 9 (b - a)$

Step 5

Multiply $- 6$ by $- 1$ .

$x^{2} a - x^{2} b - 6 x a + 6 x b - 9 (b - a)$

Step 6

Apply the distributive property.

$x^{2} a - x^{2} b - 6 x a + 6 x b - 9 b - 9 (- a)$

Step 7

Multiply $- 1$ by $- 9$ .

$x^{2} a - x^{2} b - 6 x a + 6 x b - 9 b + 9 a$