Rewrite in Standard Form (4i)/(1+i)

$\frac{4 i}{1 + i}$

Multiply the numerator and denominator of $\frac{4 i}{1 + 1 i}$ by the conjugate of $1 + 1 i$ to make the denominator real.

$\frac{4 i}{1 + 1 i} \cdot \frac{1 - i}{1 - i}$

Multiply.

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Combine.

$\frac{4 i (1 - i)}{(1 + 1 i) (1 - i)}$

Simplify the numerator.

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Apply the distributive property.

$\frac{4 i \cdot 1 + 4 i (- i)}{(1 + 1 i) (1 - i)}$

Multiply $4$ by $1$ .

$\frac{4 i + 4 i (- i)}{(1 + 1 i) (1 - i)}$

Multiply $4 i (- i)$ .

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Multiply $- 1$ by $4$ .

$\frac{4 i - 4 i i}{(1 + 1 i) (1 - i)}$

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

$\frac{4 i - 4 (i^{1} i)}{(1 + 1 i) (1 - i)}$

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

$\frac{4 i - 4 (i^{1} i^{1})}{(1 + 1 i) (1 - i)}$

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

$\frac{4 i - 4 i^{1 + 1}}{(1 + 1 i) (1 - i)}$

Add $1$ and $1$ .

$\frac{4 i - 4 i^{2}}{(1 + 1 i) (1 - i)}$

Simplify each term.

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Rewrite $i^{2}$ as $- 1$ .

$\frac{4 i - 4 \cdot - 1}{(1 + 1 i) (1 - i)}$

Multiply $- 4$ by $- 1$ .

$\frac{4 i + 4}{(1 + 1 i) (1 - i)}$

Reorder $4 i$ and $4$ .

$\frac{4 + 4 i}{(1 + 1 i) (1 - i)}$

Simplify the denominator.

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Expand $(1 + 1 i) (1 - i)$ using the FOIL Method.

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Apply the distributive property.

$\frac{4 + 4 i}{1 (1 - i) + 1 i (1 - i)}$

Apply the distributive property.

$\frac{4 + 4 i}{1 \cdot 1 + 1 (- i) + 1 i (1 - i)}$

Apply the distributive property.

$\frac{4 + 4 i}{1 \cdot 1 + 1 (- i) + 1 i \cdot 1 + 1 i (- i)}$

Simplify.

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Multiply $1$ by $1$ .

$\frac{4 + 4 i}{1 + 1 (- i) + 1 i \cdot 1 + 1 i (- i)}$

Multiply $- 1$ by $1$ .

$\frac{4 + 4 i}{1 - 1 i + 1 i \cdot 1 + 1 i (- i)}$

Multiply $1$ by $1$ .

$\frac{4 + 4 i}{1 - 1 i + 1 i + 1 i (- i)}$

Multiply $- 1$ by $1$ .

$\frac{4 + 4 i}{1 - 1 i + 1 i - i i}$

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

$\frac{4 + 4 i}{1 - 1 i + 1 i - (i^{1} i)}$

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

$\frac{4 + 4 i}{1 - 1 i + 1 i - (i^{1} i^{1})}$

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

$\frac{4 + 4 i}{1 - 1 i + 1 i - i^{1 + 1}}$

Add $1$ and $1$ .

$\frac{4 + 4 i}{1 - 1 i + 1 i - i^{2}}$

Add $- 1 i$ and $1 i$ .

$\frac{4 + 4 i}{1 + 0 - i^{2}}$

Add $1$ and $0$ .

$\frac{4 + 4 i}{1 - i^{2}}$

Simplify each term.

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Rewrite $i^{2}$ as $- 1$ .

$\frac{4 + 4 i}{1 - - 1}$

Multiply $- 1$ by $- 1$ .

$\frac{4 + 4 i}{1 + 1}$

Add $1$ and $1$ .

$\frac{4 + 4 i}{2}$

Cancel the common factor of $4 + 4 i$ and $2$ .

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Factor $2$ out of $4$ .

$\frac{2 \cdot 2 + 4 i}{2}$

Factor $2$ out of $4 i$ .

$\frac{2 \cdot 2 + 2 (2 i)}{2}$

Factor $2$ out of $2 (2) + 2 (2 i)$ .

$\frac{2 (2 + 2 i)}{2}$

Cancel the common factors.

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Factor $2$ out of $2$ .

$\frac{2 (2 + 2 i)}{2 (1)}$

Cancel the common factor.

$\frac{2 (2 + 2 i)}{2 \cdot 1}$

Rewrite the expression.

$\frac{2 + 2 i}{1}$

Divide $2 + 2 i$ by $1$ .

$2 + 2 i$

Do you know how to Rewrite in Standard Form (4i)/(1+i)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	seven hundred million eight hundred fifty-nine thousand two hundred sixty-eight

Interesting facts

700859268 has 32 divisors, whose sum is 1759151520
The reverse of 700859268 is 862958007
Previous prime number is 251

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 45
Digital Root 9

Name

Name	one hundred sixty-four million nine hundred forty thousand four hundred four

Interesting facts

164940404 has 8 divisors, whose sum is 371115918
The reverse of 164940404 is 404049461
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 32
Digital Root 5

Name

Name	two billion forty-eight million nine hundred seventy-three thousand seven hundred thirty-seven

Interesting facts

2048973737 has 16 divisors, whose sum is 2230617600
The reverse of 2048973737 is 7373798402
Previous prime number is 577

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 50
Digital Root 5