Algebra Examples

$y = 3 x^{2} + x^{3} - (x^{3} + x^{2})$

Step 1

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

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

Step 2

Apply the distributive property.

$y = 3 x^{2} + x^{3} - x^{3} - x^{2}$

Step 3

Combine the opposite terms in $3 x^{2} + x^{3} - x^{3} - x^{2}$ .

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Step 3.1

Subtract $x^{3}$ from $x^{3}$ .

$y = 3 x^{2} + 0 - x^{2}$

Step 3.2

Add $3 x^{2}$ and $0$ .

$y = 3 x^{2} - x^{2}$

Step 4

Subtract $x^{2}$ from $3 x^{2}$ .

$y = 2 x^{2}$

Step 5