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Pre-Algebra Examples Simplifying and Evaluating Expressions

Subtract

$x^{3} + 3 x + 3$ , $- x^{3} - 3$

Step 1

Subtract the second expression $- x^{3} - 3$ from the first expression $x^{3} + 3 x + 3$ .

$x^{3} + 3 x + 3 - (- x^{3} - 3)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$x^{3} + 3 x + 3 - - x^{3} - - 3$

Step 2.2

Multiply $- - x^{3}$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$x^{3} + 3 x + 3 + 1 x^{3} - - 3$

Step 2.2.2

Multiply $x^{3}$ by $1$ .

$x^{3} + 3 x + 3 + x^{3} - - 3$

Step 2.3

Multiply $- 1$ by $- 3$ .

$x^{3} + 3 x + 3 + x^{3} + 3$

Step 3

Simplify by adding terms.

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Step 3.1

Add $x^{3}$ and $x^{3}$ .

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

Step 3.2

Add $3$ and $3$ .

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

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Simplifying and Evaluating Expressions

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

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

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