Finite Math Examples

$(a - b - c) (a - 1)$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Expand $(a - b - c) (a - 1)$ by multiplying each term in the first expression by each term in the second expression.

$a \cdot a + a \cdot - 1 - b a - b \cdot - 1 - c a - c \cdot - 1$

Step 1.2

Simplify each term.

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Step 1.2.1

Multiply $a$ by $a$ .

$a^{2} + a \cdot - 1 - b a - b \cdot - 1 - c a - c \cdot - 1$

Step 1.2.2

Move $- 1$ to the left of $a$ .

$a^{2} - 1 \cdot a - b a - b \cdot - 1 - c a - c \cdot - 1$

Step 1.2.3

Rewrite $- 1 a$ as $- a$ .

$a^{2} - a - b a - b \cdot - 1 - c a - c \cdot - 1$

Step 1.2.4

Multiply $- b \cdot - 1$ .

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Step 1.2.4.1

Multiply $- 1$ by $- 1$ .

$a^{2} - a - b a + 1 b - c a - c \cdot - 1$

Step 1.2.4.2

Multiply $b$ by $1$ .

$a^{2} - a - b a + b - c a - c \cdot - 1$

Step 1.2.5

Multiply $- c \cdot - 1$ .

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Step 1.2.5.1

Multiply $- 1$ by $- 1$ .

$a^{2} - a - b a + b - c a + 1 c$

Step 1.2.5.2

Multiply $c$ by $1$ .

$a^{2} - a - b a + b - c a + c$

Step 2

The largest exponent is the degree of the polynomial.

$2$