Basic Math Examples

$(7 r^{2} + 2 r^{3} - 3 r^{4}) - (8 r^{2} + 7 r^{4} + 5 r^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 r^{2} + 2 r^{3} - 3 r^{4} - (8 r^{2}) - (7 r^{4}) - (5 r^{3})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

$7 r^{2} + 2 r^{3} - 3 r^{4} - 8 r^{2} - (7 r^{4}) - (5 r^{3})$

Step 1.2.2

Multiply $7$ by $- 1$ .

$7 r^{2} + 2 r^{3} - 3 r^{4} - 8 r^{2} - 7 r^{4} - (5 r^{3})$

Step 1.2.3

Multiply $5$ by $- 1$ .

$7 r^{2} + 2 r^{3} - 3 r^{4} - 8 r^{2} - 7 r^{4} - 5 r^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 r^{2}$ from $7 r^{2}$ .

$2 r^{3} - 3 r^{4} - r^{2} - 7 r^{4} - 5 r^{3}$

Step 2.2

Subtract $5 r^{3}$ from $2 r^{3}$ .

$- 3 r^{4} - r^{2} - 7 r^{4} - 3 r^{3}$

Step 2.3

Subtract $7 r^{4}$ from $- 3 r^{4}$ .

$- 10 r^{4} - r^{2} - 3 r^{3}$

Step 2.4

Move $- r^{2}$ .

$- 10 r^{4} - 3 r^{3} - r^{2}$