(2x3)(3x5)(2{x}^{3})(3x-5)

1
Expand by distributing terms.
2x3×3x+2x3×52{x}^{3}\times 3x+2{x}^{3}\times -5

2
Take out the constants.
(2×3)x3x+2x3×5(2\times 3){x}^{3}x+2{x}^{3}\times -5

3
Simplify  2×32\times 3  to  66.
6x3x+2x3×56{x}^{3}x+2{x}^{3}\times -5

4
Use Product Rule: xaxb=xa+b{x}^{a}{x}^{b}={x}^{a+b}.
6x3+1+2x3×56{x}^{3+1}+2{x}^{3}\times -5

5
Simplify  3+13+1  to  44.
6x4+2x3×56{x}^{4}+2{x}^{3}\times -5

6
Simplify  2x3×52{x}^{3}\times -5  to  10x3-10{x}^{3}.
6x410x36{x}^{4}-10{x}^{3}

Done

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