Basic Math Examples

$4 (3 t^{2} - 2 t + 5) + (- 6 t^{2} + 7 t - 2)$

Step 1

Remove parentheses.

$4 (3 t^{2} - 2 t + 5) - 6 t^{2} + 7 t - 2$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$4 (3 t^{2}) + 4 (- 2 t) + 4 \cdot 5 - 6 t^{2} + 7 t - 2$

Step 2.2

Simplify.

Tap for more steps...

Step 2.2.1

Multiply $3$ by $4$ .

$12 t^{2} + 4 (- 2 t) + 4 \cdot 5 - 6 t^{2} + 7 t - 2$

Step 2.2.2

Multiply $- 2$ by $4$ .

$12 t^{2} - 8 t + 4 \cdot 5 - 6 t^{2} + 7 t - 2$

Step 2.2.3

Multiply $4$ by $5$ .

$12 t^{2} - 8 t + 20 - 6 t^{2} + 7 t - 2$

Step 3

Simplify by adding terms.

Tap for more steps...

Step 3.1

Subtract $6 t^{2}$ from $12 t^{2}$ .

$6 t^{2} - 8 t + 20 + 7 t - 2$

Step 3.2

Add $- 8 t$ and $7 t$ .

$6 t^{2} - t + 20 - 2$

Step 3.3

Subtract $2$ from $20$ .

$6 t^{2} - t + 18$