Algebra Examples

$(4 x^{5} - 7 x^{3} - 9 x^{2} + 18) - (14 x^{5} - 8 x^{4} + x^{2} + x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 x^{5} - 7 x^{3} - 9 x^{2} + 18 - (14 x^{5}) - (- 8 x^{4}) - x^{2} - x$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $14$ by $- 1$ .

$4 x^{5} - 7 x^{3} - 9 x^{2} + 18 - 14 x^{5} - (- 8 x^{4}) - x^{2} - x$

Step 1.2.2

Multiply $- 8$ by $- 1$ .

$4 x^{5} - 7 x^{3} - 9 x^{2} + 18 - 14 x^{5} + 8 x^{4} - x^{2} - x$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $14 x^{5}$ from $4 x^{5}$ .

$- 10 x^{5} - 7 x^{3} - 9 x^{2} + 18 + 8 x^{4} - x^{2} - x$

Step 2.2

Subtract $x^{2}$ from $- 9 x^{2}$ .

$- 10 x^{5} - 7 x^{3} - 10 x^{2} + 18 + 8 x^{4} - x$