Algebra Examples

$(5 w^{3} - w + 2 w^{2} + 4) + (3 w^{2} + 1 - 4 w)$

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

Subtract $4 w$ from $- w$ .

$5 w^{3} - 5 w + 2 w^{2} + 4 + 3 w^{2} + 1$

Step 3

Add $2 w^{2}$ and $3 w^{2}$ .

$5 w^{3} - 5 w + 5 w^{2} + 4 + 1$

Step 4

Simplify the expression.

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Step 4.1

Add $4$ and $1$ .

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

Step 4.2

Move $- 5 w$ .

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