Pre-Algebra Examples Simplifying and Evaluating Expressions

Multiply

$x^{2} - 5 x + 6$ , $x$

Step 1

Multiply the expressions.

$(x^{2} - 5 x + 6) \cdot x$

Step 2

Apply the distributive property.

$x^{2} x - 5 x \cdot x + 6 x$

Step 3

Simplify.

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Step 3.1

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

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Step 3.1.1

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

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Step 3.1.1.1

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

$x^{2} x^{1} - 5 x \cdot x + 6 x$

Step 3.1.1.2

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

$x^{2 + 1} - 5 x \cdot x + 6 x$

Step 3.1.2

Add $2$ and $1$ .

$x^{3} - 5 x \cdot x + 6 x$

Step 3.2

Multiply $x$ by $x$ by adding the exponents.

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Step 3.2.1

Move $x$ .

$x^{3} - 5 (x \cdot x) + 6 x$

Step 3.2.2

Multiply $x$ by $x$ .

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

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