Algebra Examples

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

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $5$ by $- 1$ .

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

Step 2.3

Multiply $- 1$ by $- 3$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $5 x^{2}$ from $6 x^{2}$ .

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

Step 3.2

Add $3$ and $3$ .

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