\[(3{a}^{2}-a-2)(-2a)\]
1
Expand by distributing terms.
−2a×3a2−2a×−a−2a×−2-2a\times 3{a}^{2}-2a\times -a-2a\times -2

2
Take out the constants.
−(2×3)aa2−2a×−a−2a×−2-(2\times 3)a{a}^{2}-2a\times -a-2a\times -2

3
Simplify  2×32\times 3  to  66.
−6aa2−2a×−a−2a×−2-6a{a}^{2}-2a\times -a-2a\times -2

4
Use Product Rule: xaxb=xa+b{x}^{a}{x}^{b}={x}^{a+b}.
−6a1+2−2a×−a−2a×−2-6{a}^{1+2}-2a\times -a-2a\times -2

5
Simplify  1+21+2  to  33.
−6a3−2a×−a−2a×−2-6{a}^{3}-2a\times -a-2a\times -2

6
Use Product Rule: xaxb=xa+b{x}^{a}{x}^{b}={x}^{a+b}.
−6a3−(−2a2)−2a×−2-6{a}^{3}-(-2{a}^{2})-2a\times -2

7
Simplify  2a×−22a\times -2  to  −4a-4a.
−6a3−(−2a2)−(−4a)-6{a}^{3}-(-2{a}^{2})-(-4a)

8
Remove parentheses.
−6a3+2a2+4a-6{a}^{3}+2{a}^{2}+4a

Done
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