Finite Math Examples

$(a + b) x^{2} - (a + b) \cdot (11 x) + 18 (a + b) f (x)$

Step 1

Apply the distributive property.

$a x^{2} + b x^{2} - (a + b) \cdot (11 x) + 18 (a + b) f (x)$

Step 2

Apply the distributive property.

$a x^{2} + b x^{2} + (- a - b) \cdot (11 x) + 18 (a + b) f (x)$

Step 3

Apply the distributive property.

$a x^{2} + b x^{2} - a (11 x) - b (11 x) + 18 (a + b) f (x)$

Step 4

Rewrite using the commutative property of multiplication.

$a x^{2} + b x^{2} - 1 \cdot 11 a x - b (11 x) + 18 (a + b) f (x)$

Step 5

Rewrite using the commutative property of multiplication.

$a x^{2} + b x^{2} - 1 \cdot 11 a x - 1 \cdot 11 b x + 18 (a + b) f (x)$

Step 6

Simplify each term.

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Step 6.1

Multiply $- 1$ by $11$ .

$a x^{2} + b x^{2} - 11 a x - 1 \cdot 11 b x + 18 (a + b) f (x)$

Step 6.2

Multiply $- 1$ by $11$ .

$a x^{2} + b x^{2} - 11 a x - 11 b x + 18 (a + b) f (x)$

Step 7

Apply the distributive property.

$a x^{2} + b x^{2} - 11 a x - 11 b x + (18 a + 18 b) f x$

Step 8

Apply the distributive property.

$a x^{2} + b x^{2} - 11 a x - 11 b x + (18 a f + 18 b f) x$

Step 9

Apply the distributive property.

$a x^{2} + b x^{2} - 11 a x - 11 b x + 18 a f x + 18 b f x$