1. 0,5*p*(4p³+2a)-a*(2p-a²)-2p⁴=2p⁴+ap-2ap+a³-2ap⁴=a³-ap=a*(a²-p).
2. a) 25x⁶-15x³y=5*x³*(5x³-3y).
б) 2a*(a-1)+3*(a-1)=(a-1)*(2a+3).
3. (15a-10b)/(200b-300a)=-5*(2b-3a)/(100*(2b-3a)=-5/100=-1/20=-0,05.
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Answers & Comments
1. 0,5*p*(4p³+2a)-a*(2p-a²)-2p⁴=2p⁴+ap-2ap+a³-2ap⁴=a³-ap=a*(a²-p).
2. a) 25x⁶-15x³y=5*x³*(5x³-3y).
б) 2a*(a-1)+3*(a-1)=(a-1)*(2a+3).
3. (15a-10b)/(200b-300a)=-5*(2b-3a)/(100*(2b-3a)=-5/100=-1/20=-0,05.
Verified answer
2р^4+ар-2ар+а^3-2р^4-ар+а^3
2). а) 5х^3×(5х^3-3у)
б). (а-1)(2а+3)
3). 15а-10b/-20(-10b+15a)
1/-20
/ это дробь