Basic Math Examples

${(a + 2)}^{2} - b^{4}$

Step 1

Simplify each term.

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Step 1.1

Rewrite ${(a + 2)}^{2}$ as $(a + 2) (a + 2)$ .

$(a + 2) (a + 2) - b^{4}$

Step 1.2

Expand $(a + 2) (a + 2)$ using the FOIL Method.

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Step 1.2.1

Apply the distributive property.

$a (a + 2) + 2 (a + 2) - b^{4}$

Step 1.2.2

Apply the distributive property.

$a \cdot a + a \cdot 2 + 2 (a + 2) - b^{4}$

Step 1.2.3

Apply the distributive property.

$a \cdot a + a \cdot 2 + 2 a + 2 \cdot 2 - b^{4}$

$a \cdot a + a \cdot 2 + 2 a + 2 \cdot 2 - b^{4}$

Step 1.3

Simplify and combine like terms.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Multiply $a$ by $a$ .

$a^{2} + a \cdot 2 + 2 a + 2 \cdot 2 - b^{4}$

Step 1.3.1.2

Move $2$ to the left of $a$ .

$a^{2} + 2 \cdot a + 2 a + 2 \cdot 2 - b^{4}$

Step 1.3.1.3

Multiply $2$ by $2$ .

$a^{2} + 2 a + 2 a + 4 - b^{4}$

$a^{2} + 2 a + 2 a + 4 - b^{4}$

Step 1.3.2

Add $2 a$ and $2 a$ .

$a^{2} + 4 a + 4 - b^{4}$

$a^{2} + 4 a + 4 - b^{4}$

$a^{2} + 4 a + 4 - b^{4}$

Step 2

Simplify the expression.

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Step 2.1

Move $4$ .

$a^{2} + 4 a - b^{4} + 4$

Step 2.2

Move $4 a$ .

$a^{2} - b^{4} + 4 a + 4$

Step 2.3

Reorder $a^{2}$ and $- b^{4}$ .

$- b^{4} + a^{2} + 4 a + 4$

$- b^{4} + a^{2} + 4 a + 4$

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