Simplify (1/4a+7)(1/4a-7)

$(\frac{1}{4} a + 7) (\frac{1}{4} a - 7)$

Combine fractions.

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Combine $\frac{1}{4}$ and $a$ .

$(\frac{a}{4} + 7) (\frac{1}{4} a - 7)$

Combine $\frac{1}{4}$ and $a$ .

$(\frac{a}{4} + 7) (\frac{a}{4} - 7)$

Expand $(\frac{a}{4} + 7) (\frac{a}{4} - 7)$ using the FOIL Method.

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Apply the distributive property.

$\frac{a}{4} (\frac{a}{4} - 7) + 7 (\frac{a}{4} - 7)$

Apply the distributive property.

$\frac{a}{4} \cdot \frac{a}{4} + \frac{a}{4} \cdot - 7 + 7 (\frac{a}{4} - 7)$

Apply the distributive property.

$\frac{a}{4} \cdot \frac{a}{4} + \frac{a}{4} \cdot - 7 + 7 \frac{a}{4} + 7 \cdot - 7$

Simplify terms.

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Combine the opposite terms in $\frac{a}{4} \cdot \frac{a}{4} + \frac{a}{4} \cdot - 7 + 7 \frac{a}{4} + 7 \cdot - 7$ .

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Reorder the factors in the terms $\frac{a}{4} \cdot - 7$ and $7 \frac{a}{4}$ .

$\frac{a}{4} \cdot \frac{a}{4} - 7 \frac{a}{4} + 7 \frac{a}{4} + 7 \cdot - 7$

Add $- 7 \frac{a}{4}$ and $7 \frac{a}{4}$ .

$\frac{a}{4} \cdot \frac{a}{4} + 0 + 7 \cdot - 7$

Add $\frac{a}{4} \cdot \frac{a}{4}$ and $0$ .

$\frac{a}{4} \cdot \frac{a}{4} + 7 \cdot - 7$

Simplify each term.

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Multiply $\frac{a}{4} \cdot \frac{a}{4}$ .

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Multiply $\frac{a}{4}$ and $\frac{a}{4}$ .

$\frac{a \cdot a}{4 \cdot 4} + 7 \cdot - 7$

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

$\frac{a^{1} a}{4 \cdot 4} + 7 \cdot - 7$

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

$\frac{a^{1} a^{1}}{4 \cdot 4} + 7 \cdot - 7$

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

$\frac{a^{1 + 1}}{4 \cdot 4} + 7 \cdot - 7$

Add $1$ and $1$ .

$\frac{a^{2}}{4 \cdot 4} + 7 \cdot - 7$

Multiply $4$ by $4$ .

$\frac{a^{2}}{16} + 7 \cdot - 7$

Multiply $7$ by $- 7$ .

$\frac{a^{2}}{16} - 49$

Simplify (1/4a+7)(1/4a-7)

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