Factor x^2-2/3x+1/9

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Algebra

Factor x^2-2/3x+1/9

$x^{2} - \frac{2}{3} x + \frac{1}{9}$

Combine $x$ and $\frac{2}{3}$ .

$x^{2} - \frac{x \cdot 2}{3} + \frac{1}{9}$

Move $2$ to the left of $x$ .

$x^{2} - \frac{2 \cdot x}{3} + \frac{1}{9}$

Multiply $2$ by $x$ .

$x^{2} - \frac{2 x}{3} + \frac{1}{9}$

Factor using the perfect square rule.

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

$x^{2} - \frac{2 x}{3} + \frac{1^{2}}{9}$

Rewrite $9$ as $3^{2}$ .

$x^{2} - \frac{2 x}{3} + \frac{1^{2}}{3^{2}}$

Rewrite $\frac{1^{2}}{3^{2}}$ as ${(\frac{1}{3})}^{2}$ .

$x^{2} - \frac{2 x}{3} + {(\frac{1}{3})}^{2}$

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$\frac{2 x}{3} = 2 \cdot x \cdot \frac{1}{3}$

Rewrite the polynomial.

$x^{2} - 2 \cdot x \cdot \frac{1}{3} + {(\frac{1}{3})}^{2}$

Factor using the perfect square trinomial rule $a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$ , where $a = x$ and $b = \frac{1}{3}$ .

${(x - \frac{1}{3})}^{2}$

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Name

Name	one billion three hundred fifty-one million eight hundred sixty-five thousand eight hundred twenty-eight

Interesting facts

1351865828 has 16 divisors, whose sum is 3042412164
The reverse of 1351865828 is 8285681531
Previous prime number is 4517

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 47
Digital Root 2

Name

Name	two billion nineteen million four hundred fifty-five thousand eight hundred fifteen

Interesting facts

2019455815 has 32 divisors, whose sum is 2681392896
The reverse of 2019455815 is 5185549102
Previous prime number is 173

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 40
Digital Root 4

Name

Name	one billion six hundred thirty-four million ninety-three thousand three hundred forty-nine

Interesting facts

1634093349 has 16 divisors, whose sum is 2492757120
The reverse of 1634093349 is 9433904361
Previous prime number is 929

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 42
Digital Root 6

Evaluate 7/4

Solve for x log base 3 of 27=x

Solve Using the Quadratic Formula x^2-6x=-5

Write in Standard Form (-2x^4+7x^2y-7)+(-9x^3+7xy+7)

Solve Using the Square Root Property (5x-6)^2=64