Algebra Examples

$(5 y^{3} - 2 y^{2} - 1) - (y^{2} - 2 y - 3)$

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.

$5 y^{3} - 2 y^{2} - 1 - y^{2} - (- 2 y) - - 3$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 2$ by $- 1$ .

$5 y^{3} - 2 y^{2} - 1 - y^{2} + 2 y - - 3$

Step 2.2.2

Multiply $- 1$ by $- 3$ .

$5 y^{3} - 2 y^{2} - 1 - y^{2} + 2 y + 3$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $y^{2}$ from $- 2 y^{2}$ .

$5 y^{3} - 3 y^{2} - 1 + 2 y + 3$

Step 3.2

Add $- 1$ and $3$ .

$5 y^{3} - 3 y^{2} + 2 y + 2$