1) a(3a^2+a)=?; 2)b(2b^3-7)=?; 3) -p^2(3g-2p)=? ; 4) 5(a^2-2ab+b^2)=?; 5) 2m(m^2-3m+3)=?; 6) -3(x^2+xy+y^2)=?; 7) a(a+b)-b(a-b)=?, 8) 2x(x-y)-y(y-2x)=?, 9) a(a^2-1)+a^2(a-1)=? решите пожалуста(
1) a(3a^2+a)= 3а^3+a^2
2) b(2b^3-7)= 2b^4-7b
3)-p^2(3g-2p)=-3p^2g+2p^3
4) 5(a^2-2ab+b^2)=5a^2-10ab+5b^2
5) 2m(m^2-3m+3)= 2m^3-6m^2+6m
6) -3(x^2+xy+y^2)= -3x^2-3xy-3y^2
7) a(a+b)-b(a-b)=a^2+ab-ab+b^2=a^2-b^2
8) 2x(x-y)-y(y-2x)= 2x^2-2xy-y^2+2xy=2x^2-y^2
9) a(a^2-1)+a^2(a-1)=a^3-a+a^3-a=2a^3-2a
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Answers & Comments
1) a(3a^2+a)= 3а^3+a^2
2) b(2b^3-7)= 2b^4-7b
3)-p^2(3g-2p)=-3p^2g+2p^3
4) 5(a^2-2ab+b^2)=5a^2-10ab+5b^2
5) 2m(m^2-3m+3)= 2m^3-6m^2+6m
6) -3(x^2+xy+y^2)= -3x^2-3xy-3y^2
7) a(a+b)-b(a-b)=a^2+ab-ab+b^2=a^2-b^2
8) 2x(x-y)-y(y-2x)= 2x^2-2xy-y^2+2xy=2x^2-y^2
9) a(a^2-1)+a^2(a-1)=a^3-a+a^3-a=2a^3-2a