Calculus Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- - r^{2}$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$4 r^{2} - 3 r + 2 + 1 r^{2} - (- 3 r)$

Step 1.2.2

Multiply $r^{2}$ by $1$ .

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

Step 1.3

Multiply $- 3$ by $- 1$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $4 r^{2} - 3 r + 2 + r^{2} + 3 r$ .

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Step 2.1.1

Add $- 3 r$ and $3 r$ .

$4 r^{2} + 2 + r^{2} + 0$

Step 2.1.2

Add $4 r^{2} + 2 + r^{2}$ and $0$ .

$4 r^{2} + 2 + r^{2}$

Step 2.2

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

$5 r^{2} + 2$