Precalculus Examples

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

Step 1

Apply the distributive property.

$a^{2} y + a^{2} \cdot - 3 + a (3 - y) + 7 (y - 3)$

Step 2

Move $- 3$ to the left of $a^{2}$ .

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

Step 3

Apply the distributive property.

$a^{2} y - 3 a^{2} + a \cdot 3 + a (- y) + 7 (y - 3)$

Step 4

Move $3$ to the left of $a$ .

$a^{2} y - 3 a^{2} + 3 \cdot a + a (- y) + 7 (y - 3)$

Step 5

Rewrite using the commutative property of multiplication.

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

Step 6

Apply the distributive property.

$a^{2} y - 3 a^{2} + 3 a - a y + 7 y + 7 \cdot - 3$

Step 7

Multiply $7$ by $- 3$ .

$a^{2} y - 3 a^{2} + 3 a - a y + 7 y - 21$