Basic Math Examples

$(\sqrt{10 m} + 6) (10 m - 6)$

Step 1

Expand $(\sqrt{10 m} + 6) (10 m - 6)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$\sqrt{10 m} (10 m - 6) + 6 (10 m - 6)$

Step 1.2

Apply the distributive property.

$\sqrt{10 m} (10 m) + \sqrt{10 m} \cdot - 6 + 6 (10 m - 6)$

Step 1.3

Apply the distributive property.

$\sqrt{10 m} (10 m) + \sqrt{10 m} \cdot - 6 + 6 (10 m) + 6 \cdot - 6$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Rewrite using the commutative property of multiplication.

$10 \sqrt{10 m} m + \sqrt{10 m} \cdot - 6 + 6 (10 m) + 6 \cdot - 6$

Step 2.1.2

Move $- 6$ to the left of $\sqrt{10 m}$ .

$10 \sqrt{10 m} m - 6 \cdot \sqrt{10 m} + 6 (10 m) + 6 \cdot - 6$

Step 2.1.3

Multiply $10$ by $6$ .

$10 \sqrt{10 m} m - 6 \sqrt{10 m} + 60 m + 6 \cdot - 6$

Step 2.1.4

Multiply $6$ by $- 6$ .

$10 \sqrt{10 m} m - 6 \sqrt{10 m} + 60 m - 36$

Step 2.2

Simplify the expression.

Tap for more steps...

Step 2.2.1

Move $- 6 \sqrt{10 m}$ .

$10 \sqrt{10 m} m + 60 m - 6 \sqrt{10 m} - 36$

Step 2.2.2

Reorder $10 \sqrt{10 m} m$ and $60 m$ .

$60 m + 10 \sqrt{10 m} m - 6 \sqrt{10 m} - 36$