What is (x-(24)/(x+2))(x-(12)/(x-4)) ?

The solution to (x-(24)/(x+2))(x-(12)/(x-4)) is (x+6)(x-6)

Popular >

simplify (x-(24)/(x+2))(x-(12)/(x-4))

simplify

(x - \frac{24}{x + 2}) (x - \frac{12}{x - 4})

(x + 6) (x - 6)

Solution steps

(x - \frac{24}{x + 2}) (x - \frac{12}{x - 4})

Join

x - \frac{24}{x + 2} : \frac{x ^{2} + 2 x - 24}{x + 2}

= \frac{x ^{2} + 2 x - 24}{x + 2} (x - \frac{12}{x - 4})

Apply the fraction rule:

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

= \frac{( x ^{2} + 2 x - 24 ) ( x - \frac{12}{x - 4} )}{x + 2}

Simplify

(x^{2} + 2 x - 24) (x - \frac{12}{x - 4}) : (x + 6) (x^{2} - 4 x - 12)

= \frac{( x + 6 ) ( x ^{2} - 4 x - 12 )}{x + 2}

Factor

x^{2} - 4 x - 12 : (x + 2) (x - 6)

= \frac{( x + 6 ) ( x + 2 ) ( x - 6 )}{x + 2}

Cancel the common factor:

x + 2

= (x + 6) (x - 6)

(x + 1 - 2) (x + 1 + 2)

(2 x y^{3} - 4 y + 4 x - 3) d x + (3 x^{2} y^{2} - 4 x) d y

\frac{x ^{2} + 2 x + 4}{( x + 1 ) ^{2}}

(2, - 4) y (- 3, 8)

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

What is (x-(24)/(x+2))(x-(12)/(x-4)) ?
The solution to (x-(24)/(x+2))(x-(12)/(x-4)) is (x+6)(x-6)