Basic Math Examples

$(6 z + 9 a) (7 b - 5 c)$

Step 1

Expand $(6 z + 9 a) (7 b - 5 c)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$6 z (7 b - 5 c) + 9 a (7 b - 5 c)$

Step 1.2

Apply the distributive property.

$6 z (7 b) + 6 z (- 5 c) + 9 a (7 b - 5 c)$

Step 1.3

Apply the distributive property.

$6 z (7 b) + 6 z (- 5 c) + 9 a (7 b) + 9 a (- 5 c)$

Step 2

Simplify each term.

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Step 2.1

Rewrite using the commutative property of multiplication.

$6 \cdot 7 z b + 6 z (- 5 c) + 9 a (7 b) + 9 a (- 5 c)$

Step 2.2

Multiply $6$ by $7$ .

$42 z b + 6 z (- 5 c) + 9 a (7 b) + 9 a (- 5 c)$

Step 2.3

Rewrite using the commutative property of multiplication.

$42 z b + 6 \cdot - 5 z c + 9 a (7 b) + 9 a (- 5 c)$

Step 2.4

Multiply $6$ by $- 5$ .

$42 z b - 30 z c + 9 a (7 b) + 9 a (- 5 c)$

Step 2.5

Rewrite using the commutative property of multiplication.

$42 z b - 30 z c + 9 \cdot 7 a b + 9 a (- 5 c)$

Step 2.6

Multiply $9$ by $7$ .

$42 z b - 30 z c + 63 a b + 9 a (- 5 c)$

Step 2.7

Rewrite using the commutative property of multiplication.

$42 z b - 30 z c + 63 a b + 9 \cdot - 5 a c$

Step 2.8

Multiply $9$ by $- 5$ .

$42 z b - 30 z c + 63 a b - 45 a c$