Basic Math Examples

$| f (1) - f \cdot 0 \cdot 1 - {(G (1))}^{2} + g (1) \div f \cdot - 1 g \cdot 2 |$

Step 1

Simplify each term.

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Step 1.1

Multiply $f$ by $1$ .

$| f - f \cdot 0 \cdot 1 - {(G (1))}^{2} + g (1) \div f \cdot (- 1 g) \cdot 2 |$

Step 1.2

Multiply $- f \cdot 0$ .

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Step 1.2.1

Multiply $0$ by $- 1$ .

$| f + 0 f \cdot 1 - {(G (1))}^{2} + g (1) \div f \cdot (- 1 g) \cdot 2 |$

Step 1.2.2

Multiply $0$ by $f$ .

$| f + 0 \cdot 1 - {(G (1))}^{2} + g (1) \div f \cdot (- 1 g) \cdot 2 |$

Step 1.3

Multiply $0$ by $1$ .

$| f + 0 - {(G (1))}^{2} + g (1) \div f \cdot (- 1 g) \cdot 2 |$

Step 1.4

Multiply $G$ by $1$ .

$| f + 0 - G^{2} + g (1) \div f \cdot (- 1 g) \cdot 2 |$

Step 1.5

Rewrite using the commutative property of multiplication.

$| f + 0 - G^{2} - g \div f g \cdot 2 |$

Step 1.6

Rewrite the division as a fraction.

$| f + 0 - G^{2} - \frac{g}{f} g \cdot 2 |$

Step 1.7

Multiply $- \frac{g}{f} g$ .

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Step 1.7.1

Combine $g$ and $\frac{g}{f}$ .

$| f + 0 - G^{2} - \frac{g \cdot g}{f} \cdot 2 |$

Step 1.7.2

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

$| f + 0 - G^{2} - \frac{g^{1} g}{f} \cdot 2 |$

Step 1.7.3

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

$| f + 0 - G^{2} - \frac{g^{1} g^{1}}{f} \cdot 2 |$

Step 1.7.4

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

$| f + 0 - G^{2} - \frac{g^{1 + 1}}{f} \cdot 2 |$

Step 1.7.5

Add $1$ and $1$ .

$| f + 0 - G^{2} - \frac{g^{2}}{f} \cdot 2 |$

Step 1.8

Multiply $- \frac{g^{2}}{f} \cdot 2$ .

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Step 1.8.1

Multiply $2$ by $- 1$ .

$| f + 0 - G^{2} - 2 \frac{g^{2}}{f} |$

Step 1.8.2

Combine $- 2$ and $\frac{g^{2}}{f}$ .

$| f + 0 - G^{2} + \frac{- 2 g^{2}}{f} |$

Step 1.9

Move the negative in front of the fraction.

$| f + 0 - G^{2} - \frac{2 g^{2}}{f} |$

Step 2

Add $f$ and $0$ .

$| f - G^{2} - \frac{2 g^{2}}{f} |$