Expand (x+2)^6

${(x + 2)}^{6}$

Use the Binomial Theorem.

$x^{6} + 6 x^{5} \cdot 2 + 15 x^{4} \cdot 2^{2} + 20 x^{3} \cdot 2^{3} + 15 x^{2} \cdot 2^{4} + 6 x \cdot 2^{5} + 2^{6}$

Simplify each term.

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Multiply $2$ by $6$ .

$x^{6} + 12 x^{5} + 15 x^{4} \cdot 2^{2} + 20 x^{3} \cdot 2^{3} + 15 x^{2} \cdot 2^{4} + 6 x \cdot 2^{5} + 2^{6}$

Raise $2$ to the power of $2$ .

$x^{6} + 12 x^{5} + 15 x^{4} \cdot 4 + 20 x^{3} \cdot 2^{3} + 15 x^{2} \cdot 2^{4} + 6 x \cdot 2^{5} + 2^{6}$

Multiply $4$ by $15$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 20 x^{3} \cdot 2^{3} + 15 x^{2} \cdot 2^{4} + 6 x \cdot 2^{5} + 2^{6}$

Raise $2$ to the power of $3$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 20 x^{3} \cdot 8 + 15 x^{2} \cdot 2^{4} + 6 x \cdot 2^{5} + 2^{6}$

Multiply $8$ by $20$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 160 x^{3} + 15 x^{2} \cdot 2^{4} + 6 x \cdot 2^{5} + 2^{6}$

Raise $2$ to the power of $4$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 160 x^{3} + 15 x^{2} \cdot 16 + 6 x \cdot 2^{5} + 2^{6}$

Multiply $16$ by $15$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 160 x^{3} + 240 x^{2} + 6 x \cdot 2^{5} + 2^{6}$

Raise $2$ to the power of $5$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 160 x^{3} + 240 x^{2} + 6 x \cdot 32 + 2^{6}$

Multiply $32$ by $6$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 160 x^{3} + 240 x^{2} + 192 x + 2^{6}$

Raise $2$ to the power of $6$ .

$x^{6} + 12 x^{5} + 60 x^{4} + 160 x^{3} + 240 x^{2} + 192 x + 64$

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Name

Name	two billion ninety-four million three hundred eighty-two thousand eight hundred fifty

Interesting facts

2094382850 has 32 divisors, whose sum is 3226189824
The reverse of 2094382850 is 0582834902
Previous prime number is 271

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 41
Digital Root 5

Name

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

Interesting facts

90964444 has 16 divisors, whose sum is 205184016
The reverse of 90964444 is 44446909
Previous prime number is 401

Basic properties

Is Prime? no
Number parity even
Number length 8
Sum of Digits 40
Digital Root 4

Name

Name	three hundred forty-three million nine hundred sixty-three thousand five hundred thirty-five

Interesting facts

343963535 has 4 divisors, whose sum is 412756248
The reverse of 343963535 is 535369343
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 41
Digital Root 5

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