Simplify (4r^3+3r^4)-(r^4-5r^3)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 5$ by $- 1$ .

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

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

Step 2

Simplify by adding terms.

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

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

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

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

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

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