What is expand (b(5a-2b))/(2a(2b^2+a)) ?

The solution to expand (b(5a-2b))/(2a(2b^2+a)) is (5ba-2b^2)/(4b^2a+2a^2)

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expand (b(5a-2b))/(2a(2b^2+a))

expand

\frac{b ( 5 a - 2 b )}{2 a ( 2 b ^{2} + a )}

\frac{5 ba - 2 b ^{2}}{4 b ^{2} a + 2 a ^{2}}

Solution steps

\frac{b ( 5 a - 2 b )}{2 a ( 2 b ^{2} + a )}

Expand

2 a (2 b^{2} + a) : 4 b^{2} a + 2 a^{2}

= \frac{b ( 5 a - 2 b )}{4 b ^{2} a + 2 a ^{2}}

Expand

b (5 a - 2 b) : 5 ba - 2 b^{2}

= \frac{5 ba - 2 b ^{2}}{4 b ^{2} a + 2 a ^{2}}

\frac{( 3 x + 4 ) ( 2 x + 5 )}{2}

\frac{x - 4}{10 ( x - 2 )}

\frac{2 x ^{3} + 10 x}{( x ^{2} + 1 ) ^{2}}

\frac{12 x ^{6} - 96 x ^{4} + 34 x ^{3} - 3}{( 3 x - 4 x ^{4} ) ^{2}}

\frac{35 ( x - 3 ) x}{4}

What is expand (b(5a-2b))/(2a(2b^2+a)) ?
The solution to expand (b(5a-2b))/(2a(2b^2+a)) is (5ba-2b^2)/(4b^2a+2a^2)