\[(5-4y+2x)(5+3y)\]
1
Expand by distributing sum groups.
5(5+3y)−4y(5+3y)+2x(5+3y)5(5+3y)-4y(5+3y)+2x(5+3y)

2
Expand by distributing terms.
25+15y−4y(5+3y)+2x(5+3y)25+15y-4y(5+3y)+2x(5+3y)

3
Expand by distributing terms.
25+15y−(20y+12y2)+2x(5+3y)25+15y-(20y+12{y}^{2})+2x(5+3y)

4
Expand by distributing terms.
25+15y−(20y+12y2)+10x+6xy25+15y-(20y+12{y}^{2})+10x+6xy

5
Remove parentheses.
25+15y−20y−12y2+10x+6xy25+15y-20y-12{y}^{2}+10x+6xy

6
Collect like terms.
25+(15y−20y)−12y2+10x+6xy25+(15y-20y)-12{y}^{2}+10x+6xy

7
Simplify.
25−5y−12y2+10x+6xy25-5y-12{y}^{2}+10x+6xy

Done
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