Algebra Examples

$(4 c^{4} + 1) - (7 c^{3} - 3) + (2 c^{4} + 5 c^{3})$

Step 1

Remove parentheses.

$(4 c^{4} + 1) - (7 c^{3} - 3) + 2 c^{4} + 5 c^{3}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$4 c^{4} + 1 - (7 c^{3}) - - 3 + 2 c^{4} + 5 c^{3}$

Step 2.2

Multiply $7$ by $- 1$ .

$4 c^{4} + 1 - 7 c^{3} - - 3 + 2 c^{4} + 5 c^{3}$

Step 2.3

Multiply $- 1$ by $- 3$ .

$4 c^{4} + 1 - 7 c^{3} + 3 + 2 c^{4} + 5 c^{3}$

Step 3

Simplify by adding terms.

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Step 3.1

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

$6 c^{4} + 1 - 7 c^{3} + 3 + 5 c^{3}$

Step 3.2

Add $1$ and $3$ .

$6 c^{4} - 7 c^{3} + 4 + 5 c^{3}$

Step 3.3

Add $- 7 c^{3}$ and $5 c^{3}$ .

$6 c^{4} - 2 c^{3} + 4$