What is a(2a^2-a-4)-a(a-3)2a ?

The solution to a(2a^2-a-4)-a(a-3)2a is 5a^2-4a

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simplify a(2a^2-a-4)-a(a-3)2a

simplify

a (2 a^{2} - a - 4) - a (a - 3) 2 a

5 a^{2} - 4 a

Solution steps

a (2 a^{2} - a - 4) - a (a - 3) \cdot 2 a

Simplify

a (a - 3) \cdot 2 a : 2 a^{2} (a - 3)

= a (2 a^{2} - a - 4) - 2 a^{2} (a - 3)

Expand

a (2 a^{2} - a - 4) : 2 a^{3} - a^{2} - 4 a

= 2 a^{3} - a^{2} - 4 a - 2 a^{2} (a - 3)

Expand

- 2 a^{2} (a - 3) : - 2 a^{3} + 6 a^{2}

= 2 a^{3} - a^{2} - 4 a - 2 a^{3} + 6 a^{2}

Group like terms

= 2 a^{3} - 2 a^{3} - a^{2} + 6 a^{2} - 4 a

Add similar elements:

2 a^{3} - 2 a^{3} = 0

= - a^{2} + 6 a^{2} - 4 a

Add similar elements:

- a^{2} + 6 a^{2} = 5 a^{2}

= 5 a^{2} - 4 a

(a - bi) (c - d i)

4 x^{3} \cdot 9 x

\frac{16 x ^{3} - 12 x y}{8 x ^{2} y}

- 36 + \frac{8}{5} - 7.14 - 3 π

3 \frac{2}{4}