Algebra Examples

$f (f^{2} + 2 f + 25)$

Step 1

Apply the distributive property.

$f \cdot f^{2} + f (2 f) + f \cdot 25$

Step 2

Simplify.

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Step 2.1

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

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Step 2.1.1

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

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Step 2.1.1.1

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

$f^{1} f^{2} + f (2 f) + f \cdot 25$

Step 2.1.1.2

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

$f^{1 + 2} + f (2 f) + f \cdot 25$

Step 2.1.2

Add $1$ and $2$ .

$f^{3} + f (2 f) + f \cdot 25$

Step 2.2

Rewrite using the commutative property of multiplication.

$f^{3} + 2 f \cdot f + f \cdot 25$

Step 2.3

Move $25$ to the left of $f$ .

$f^{3} + 2 f \cdot f + 25 \cdot f$

Step 3

Multiply $f$ by $f$ by adding the exponents.

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Step 3.1

Move $f$ .

$f^{3} + 2 (f \cdot f) + 25 \cdot f$

Step 3.2

Multiply $f$ by $f$ .

$f^{3} + 2 f^{2} + 25 \cdot f$

$f^{3} + 2 f^{2} + 25 f$