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	two hundred fourteen million three hundred fourteen thousand seven hundred ninety-seven

Interesting facts

214314797 has 8 divisors, whose sum is 215910912
The reverse of 214314797 is 797413412
Previous prime number is 601

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 38
Digital Root 2

Name

Name	one billion two hundred eighty-one million three hundred sixty-eight thousand five hundred fifty-nine

Interesting facts

1281368559 has 8 divisors, whose sum is 1708680960
The reverse of 1281368559 is 9558631821
Previous prime number is 12107

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 48
Digital Root 3

Name

Name	one billion three hundred thirty million one hundred forty-eight thousand two hundred seventy-five

Interesting facts

1330148275 has 8 divisors, whose sum is 1387782032
The reverse of 1330148275 is 5728410331
Previous prime number is 313

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 34
Digital Root 7

Solve Using the Quadratic Formula 3x^2-5x+2=0

Find the End Behavior 5x^8-2x^7-8x^6+1

Find the Roots (Zeros) y=x^3-5x^2+9x-45

Convert to a Decimal 57/220

Find the Slope and Y-Intercept -12x+4y=-8