Basic Math Examples

$9 h^{2} - (2 h + 3) (5 k + 2)$

Step 1

Apply the distributive property.

$9 h^{2} + (- (2 h) - 1 \cdot 3) (5 k + 2)$

Step 2

Multiply $2$ by $- 1$ .

$9 h^{2} + (- 2 h - 1 \cdot 3) (5 k + 2)$

Step 3

Multiply $- 1$ by $3$ .

$9 h^{2} + (- 2 h - 3) (5 k + 2)$

Step 4

Expand $(- 2 h - 3) (5 k + 2)$ using the FOIL Method.

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Step 4.1

Apply the distributive property.

$9 h^{2} - 2 h (5 k + 2) - 3 (5 k + 2)$

Step 4.2

Apply the distributive property.

$9 h^{2} - 2 h (5 k) - 2 h \cdot 2 - 3 (5 k + 2)$

Step 4.3

Apply the distributive property.

$9 h^{2} - 2 h (5 k) - 2 h \cdot 2 - 3 (5 k) - 3 \cdot 2$

Step 5

Simplify each term.

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Step 5.1

Rewrite using the commutative property of multiplication.

$9 h^{2} - 2 \cdot 5 h k - 2 h \cdot 2 - 3 (5 k) - 3 \cdot 2$

Step 5.2

Multiply $- 2$ by $5$ .

$9 h^{2} - 10 h k - 2 h \cdot 2 - 3 (5 k) - 3 \cdot 2$

Step 5.3

Multiply $2$ by $- 2$ .

$9 h^{2} - 10 h k - 4 h - 3 (5 k) - 3 \cdot 2$

Step 5.4

Multiply $5$ by $- 3$ .

$9 h^{2} - 10 h k - 4 h - 15 k - 3 \cdot 2$

Step 5.5

Multiply $- 3$ by $2$ .

$9 h^{2} - 10 h k - 4 h - 15 k - 6$