Algebra Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $- 5$ by $- 1$ .

$4 r^{3} + 3 r^{4} - r^{4} + 5 r^{3}$

Step 3

Add $4 r^{3}$ and $5 r^{3}$ .

$3 r^{4} - r^{4} + 9 r^{3}$

Step 4

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

$2 r^{4} + 9 r^{3}$

Step 5

Factor $r^{3}$ out of $2 r^{4} + 9 r^{3}$ .

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Step 5.1

Factor $r^{3}$ out of $2 r^{4}$ .

$r^{3} (2 r) + 9 r^{3}$

Step 5.2

Factor $r^{3}$ out of $9 r^{3}$ .

$r^{3} (2 r) + r^{3} \cdot 9$

Step 5.3

Factor $r^{3}$ out of $r^{3} (2 r) + r^{3} \cdot 9$ .

$r^{3} (2 r + 9)$