What is 4x^2*((15)/x-(2x)/5) ?

The solution to 4x^2*((15)/x-(2x)/5) is (4x(75-2x^2))/5

Popular >

simplify 4x^2*((15)/x-(2x)/5)

simplify

4 x^{2} \cdot (\frac{15}{x} - \frac{2 x}{5})

\frac{4 x ( 75 - 2 x ^{2} )}{5}

Solution steps

4 x^{2} (\frac{15}{x} - \frac{2 x}{5})

Join

\frac{15}{x} - \frac{2 x}{5} : \frac{75 - 2 x ^{2}}{5 x}

= 4 x^{2} \frac{75 - 2 x ^{2}}{5 x}

Apply the fraction rule:

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

= \frac{4 x ^{2} ( 75 - 2 x ^{2} )}{5 x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{4 xx ( 75 - 2 x ^{2} )}{5 x}

Cancel the common factor:

x

= \frac{4 x ( 75 - 2 x ^{2} )}{5}

\frac{( 8 )}{( s + 4 ) ( s ^{2} + 2 s + 2 )}

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

\frac{( s - 2 ) ( 3 s + 1 ) ^{2}}{9}

- \frac{4 s}{( s + 6 ) ( s + 2 )}

\frac{4 x - 2 2 x - 2}{x ^{2} - 3 x + 2}

What is 4x^2*((15)/x-(2x)/5) ?
The solution to 4x^2*((15)/x-(2x)/5) is (4x(75-2x^2))/5