What is (x-(3sqrt(2))/2)(1+(3sqrt(2))/2) ?

The solution to (x-(3sqrt(2))/2)(1+(3sqrt(2))/2) is (x(2+3sqrt(2))-3sqrt(2)-9)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x-(3sqrt(2))/2)(1+(3sqrt(2))/2)

simplify

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

\frac{x ( 2 + 3 2 ) - 3 2 - 9}{2}

Solution steps

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

Join

x - \frac{3 2}{2} : \frac{x 2 - 3}{2}

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

Cancel

\frac{3 2}{2} : \frac{3}{2}

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Simplify

(x 2 - 3) (1 + \frac{3}{2}) : \frac{x ( 2 + 2 \cdot 3 ) - 3 2 - 9}{2}

= \frac{\frac{x ( 2 + 2 \cdot 3 ) - 3 2 - 9}{2}}{2}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{x ( 2 + 2 \cdot 3 ) - 3 2 - 9}{2 2}

Apply radical rule:

a a = a, a \geq 0

22 = 2

= \frac{x ( 2 + 2 \cdot 3 ) - 3 2 - 9}{2}

Expand

x (2 + 2 \cdot 3) - 32 - 9 : x (2 + 32) - 32 - 9

= \frac{x ( 2 + 3 2 ) - 3 2 - 9}{2}

5 ((v^{2} + 256)^{\frac{1}{2}} - 16)

(4 cos (t)) (1 + 4 sin (t))

(1 + \frac{s}{3125}) (1 + \frac{s}{4625})

4 (3 + 1)

25 (42 + 73)

What is (x-(3sqrt(2))/2)(1+(3sqrt(2))/2) ?
The solution to (x-(3sqrt(2))/2)(1+(3sqrt(2))/2) is (x(2+3sqrt(2))-3sqrt(2)-9)/2