What is (x/4+2/3)\times (x/4-2/3) ?

The solution to (x/4+2/3)\times (x/4-2/3) is ((3x+8)(3x-8))/(144)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x/4+2/3)\times (x/4-2/3)

simplify

(\frac{x}{4} + \frac{2}{3}) \cdot (\frac{x}{4} - \frac{2}{3})

\frac{( 3 x + 8 ) ( 3 x - 8 )}{144}

Solution steps

(\frac{x}{4} + \frac{2}{3}) (\frac{x}{4} - \frac{2}{3})

Simplify

\frac{x}{4} + \frac{2}{3} : \frac{3 x + 8}{12}

= \frac{3 x + 8}{12} (\frac{x}{4} - \frac{2}{3})

Apply the fraction rule:

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

= \frac{( 3 x + 8 ) ( \frac{x}{4} - \frac{2}{3} )}{12}

Simplify

(3 x + 8) (\frac{x}{4} - \frac{2}{3}) : \frac{( 3 x + 8 ) ( x \cdot 3 - 8 )}{12}

= \frac{\frac{( 3 x + 8 ) ( x \cdot 3 - 8 )}{12}}{12}

Apply the fraction rule:

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

= \frac{( 3 x + 8 ) ( x \cdot 3 - 8 )}{12 \cdot 12}

Multiply the numbers:

12 \cdot 12 = 144

= \frac{( 3 x + 8 ) ( x \cdot 3 - 8 )}{144}

= \frac{( 3 x + 8 ) ( 3 x - 8 )}{144}

(2 + d t + d a)^{3}

\frac{( x + 4 ) ( x - 2 )}{( x + 3 ) ( x - 8 )}

\frac{( 3 x - 4 ) ( x + 1 )}{88}

- \frac{2 ( - 16 - 8 z )}{5}

\frac{( 3.2 s + 1 )}{[ s ^{2} ( 5.7 s + 7.8 ) ]}

What is (x/4+2/3)\times (x/4-2/3) ?
The solution to (x/4+2/3)\times (x/4-2/3) is ((3x+8)(3x-8))/(144)