What is (3a+1)((a^3)/5-a+1) ?

The solution to (3a+1)((a^3)/5-a+1) is ((3a+1)(a^3-5a+5))/5

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simplify (3a+1)((a^3)/5-a+1)

simplify

(3 a + 1) (\frac{a ^{3}}{5} - a + 1)

\frac{( 3 a + 1 ) ( a ^{3} - 5 a + 5 )}{5}

Solution steps

(3 a + 1) (\frac{a ^{3}}{5} - a + 1)

Simplify

\frac{a ^{3}}{5} - a + 1 : \frac{a ^{3} - 5 a + 5}{5}

= (3 a + 1) \frac{a ^{3} - 5 a + 5}{5}

Apply the fraction rule:

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

= \frac{( 3 a + 1 ) ( a ^{3} - 5 a + 5 )}{5}

(x - \frac{x ^{3}}{3 !} + \frac{x ^{5}}{5 !}) (\frac{2 x ^{6}}{45} - \frac{x ^{4}}{3} + x^{2})

2 sin (7 (x + π)) - 1

(1 + t \cdot e^{- t})^{3}

(x + i y)^{2} + 1

5 (22 - 2)

What is (3a+1)((a^3)/5-a+1) ?
The solution to (3a+1)((a^3)/5-a+1) is ((3a+1)(a^3-5a+5))/5