Algebra Examples

$3 x^{2} + 5 x + 1 x \cdot x^{2} - 2 x + 4$

Step 1

Simplify each term.

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Step 1.1

Multiply $x$ by $x^{2}$ by adding the exponents.

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Step 1.1.1

Move $x^{2}$ .

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

Step 1.1.2

Multiply $x^{2}$ by $x$ .

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Step 1.1.2.1

Raise $x$ to the power of $1$ .

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

Step 1.1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 1.1.3

Add $2$ and $1$ .

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

Step 1.2

Simplify $1 x^{3}$ .

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 x$ from $5 x$ .

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

Step 2.2

Reorder $3 x^{2}$ and $x^{3}$ .

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