\[x(3x-5)\]

1
Expand by distributing terms.
x×3x+x×5x\times 3x+x\times -5

2
Use Product Rule: xaxb=xa+b{x}^{a}{x}^{b}={x}^{a+b}.
x2×3+x×5{x}^{2}\times 3+x\times -5

3
Regroup terms.
3x2+x×53{x}^{2}+x\times -5

4
Regroup terms.
3x25x3{x}^{2}-5x

Done

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