Algebra Examples

$(4 x^{5} + 3 x - 12) - (3 x^{3} + x^{2} - 3 x - 7)$

Step 1

Apply the distributive property.

$4 x^{5} + 3 x - 12 - (3 x^{3}) - x^{2} - (- 3 x) - - 7$

Step 2

Simplify.

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Step 2.1

Multiply $3$ by $- 1$ .

$4 x^{5} + 3 x - 12 - 3 x^{3} - x^{2} - (- 3 x) - - 7$

Step 2.2

Multiply $- 3$ by $- 1$ .

$4 x^{5} + 3 x - 12 - 3 x^{3} - x^{2} + 3 x - - 7$

Step 2.3

Multiply $- 1$ by $- 7$ .

$4 x^{5} + 3 x - 12 - 3 x^{3} - x^{2} + 3 x + 7$

Step 3

Add $3 x$ and $3 x$ .

$4 x^{5} - 12 - 3 x^{3} - x^{2} + 6 x + 7$

Step 4

Add $- 12$ and $7$ .

$4 x^{5} - 3 x^{3} - x^{2} + 6 x - 5$