Basic Math Examples

$144 p (y - 5 t^{2}) - 12 q (10 t^{2} - 2 y)$

Step 1

Apply the distributive property.

$144 p y + 144 p (- 5 t^{2}) - 12 q (10 t^{2} - 2 y)$

Step 2

Rewrite using the commutative property of multiplication.

$144 p y + 144 \cdot - 5 p t^{2} - 12 q (10 t^{2} - 2 y)$

Step 3

Multiply $144$ by $- 5$ .

$144 p y - 720 p t^{2} - 12 q (10 t^{2} - 2 y)$

Step 4

Apply the distributive property.

$144 p y - 720 p t^{2} - 12 q (10 t^{2}) - 12 q (- 2 y)$

Step 5

Rewrite using the commutative property of multiplication.

$144 p y - 720 p t^{2} - 12 \cdot 10 q t^{2} - 12 q (- 2 y)$

Step 6

Rewrite using the commutative property of multiplication.

$144 p y - 720 p t^{2} - 12 \cdot 10 q t^{2} - 12 \cdot - 2 q y$

Step 7

Simplify each term.

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Step 7.1

Multiply $- 12$ by $10$ .

$144 p y - 720 p t^{2} - 120 q t^{2} - 12 \cdot - 2 q y$

Step 7.2

Multiply $- 12$ by $- 2$ .

$144 p y - 720 p t^{2} - 120 q t^{2} + 24 q y$