Pre-Algebra Examples

$- 7 c (- 7 c + 5) - 3 c$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 7 c (- 7 c) - 7 c \cdot 5 - 3 c$

Step 1.1.2

Rewrite using the commutative property of multiplication.

$- 7 \cdot - 7 c \cdot c - 7 c \cdot 5 - 3 c$

Step 1.1.3

Multiply $5$ by $- 7$ .

$- 7 \cdot - 7 c \cdot c - 35 c - 3 c$

Step 1.1.4

Simplify each term.

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Step 1.1.4.1

Multiply $c$ by $c$ by adding the exponents.

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Step 1.1.4.1.1

Move $c$ .

$- 7 \cdot - 7 (c \cdot c) - 35 c - 3 c$

Step 1.1.4.1.2

Multiply $c$ by $c$ .

$- 7 \cdot - 7 c^{2} - 35 c - 3 c$

Step 1.1.4.2

Multiply $- 7$ by $- 7$ .

$49 c^{2} - 35 c - 3 c$

Step 1.2

Subtract $3 c$ from $- 35 c$ .

$49 c^{2} - 38 c$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$49 c^{2} \to 2$

$- 38 c \to 1$

Step 3

The largest exponent is the degree of the polynomial.

$2$