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1c. 5(3x+2y)
= (5.3x) + (5.2y)
= 15x+10y

1e. 4a²(-a+2b)
= (4a².-a) + (4a².2b)
= -4a³+8a²b

1h. ½(4x-6y)
= (½.4x) - (½.6y)
= 2x - 3y

2c. (5m-1)(m+4)
= 5m²+20m-m-4
= 5m²+19m-4

2f. (a+3b)(2a-4b)
= 2a²-4ab+6ab-12b²
= 2a²+2ab-12b²

2h. (5+a)(7-a)
= 35-5a+7a-a²
= 35+2a-a²
= -a²+2a+35

3d. (a-3)(a²+4a+5)
= (a.a²+a.4a+a.5)-(3.a²+3.4a+3.5)
= a³+4a²+5a-3a²-12a-15
= a³-a²-7a-15

3e. (x+y)(3x²+xy+2y²)
= (x.3x²+x.xy+x.2y²)+(y.3x²+y.xy+y.2y²)
= 3x³+x²y+2xy²+3x²y+xy²+2y³
= 3x³+4x²y+3xy²+2y³

3f. (3k-5)(k²+2k-6)
= (3k.k²+3k.2k-3k.6)-(5.k²+5.2k-5.6)
= 3k³+6k²-18k-5k²-10k+30
= 3k³+5k²-10k+12

4a. ab(a+2b-c)
= a²b+ab²-abc

4c. 2xy(x-3y)
= 2x²y-6xy²

4e. 3y(4xy-4yz)
= 12xy²-12y²z