Finite Math Examples

$(5 r + 6 r^{2} - 2) - (7 r^{5} - 4 r^{2} + 16)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 r + 6 r^{2} - 2 - (7 r^{5}) - (- 4 r^{2}) - 1 \cdot 16$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $7$ by $- 1$ .

$5 r + 6 r^{2} - 2 - 7 r^{5} - (- 4 r^{2}) - 1 \cdot 16$

Step 1.2.2

Multiply $- 4$ by $- 1$ .

$5 r + 6 r^{2} - 2 - 7 r^{5} + 4 r^{2} - 1 \cdot 16$

Step 1.2.3

Multiply $- 1$ by $16$ .

$5 r + 6 r^{2} - 2 - 7 r^{5} + 4 r^{2} - 16$

Step 2

Simplify by adding terms.

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Step 2.1

Add $6 r^{2}$ and $4 r^{2}$ .

$5 r + 10 r^{2} - 2 - 7 r^{5} - 16$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $16$ from $- 2$ .

$5 r + 10 r^{2} - 7 r^{5} - 18$

Step 2.2.2

Move $5 r$ .

$10 r^{2} - 7 r^{5} + 5 r - 18$

Step 2.2.3

Reorder $10 r^{2}$ and $- 7 r^{5}$ .

$- 7 r^{5} + 10 r^{2} + 5 r - 18$