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Pre-Algebra Examples Simplifying and Evaluating Expressions

Simplify

$(x + 2) (x + 3)$

Step 1

Expand $(x + 2) (x + 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$x (x + 3) + 2 (x + 3)$

Step 1.2

Apply the distributive property.

$x \cdot x + x \cdot 3 + 2 (x + 3)$

Step 1.3

Apply the distributive property.

$x \cdot x + x \cdot 3 + 2 x + 2 \cdot 3$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $x$ by $x$ .

$x^{2} + x \cdot 3 + 2 x + 2 \cdot 3$

Step 2.1.2

Move $3$ to the left of $x$ .

$x^{2} + 3 \cdot x + 2 x + 2 \cdot 3$

Step 2.1.3

Multiply $2$ by $3$ .

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

Step 2.2

Add $3 x$ and $2 x$ .

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

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Simplifying and Evaluating Expressions

More step-by-step Pre-Algebra examples from this chapter.

Simplifying Multiplication Polynomial Addition Polynomial Subtraction Polynomial Multiplication Polynomial Division Simplifying Expressions Evaluate the Expression Using the Given Values Identifying Degree Operations on Polynomials Negative Exponents Evaluating Radicals

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$