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1. (x+y)(2x-5y+3xy)
=x(2x-5y+3xy)+y(2x-5y+3xy)
=2x²-5xy+3x²y+2xy-5y²+3xy²
=2x²-5y²+3x²y+3xy²-5xy+2xy
=2x²-5y²+3x²y+3xy²-3xy
2. (a-2b+3c)(ab²-a²b)
=a(ab²-a²b)-2b(ab²-a²b)+3c(ab²-a²b)
=a²b²-a³b-2ab³+2a²b²+3ab²c-3a²bc
=-a³b-2ab³+a²b²+2a²b²+3ab²c-3a²bc
=-a³b-2ab³+3a²b²+3ab²c-3a²bc
3. (mn-kl+km)(kl-lm)
=kl(mn-kl+km)-lm(mn-kl+km)
=klmn-k²l²+k²lm-lm²n+kl²m-klm²
4. (p³+q³)(p-5q+6r)
=p³(p-5q+6r)+q³(p-5q+6r)
=p⁴-5p³q+6p³r+q³p-5q⁴+6q³r
=p⁴+q⁴-5p³q+6p³q+q³p+6q³r
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