Вопрос:
Упростите выражения: 1) 3·(2x−1)+5·(3−x); 2) 25a−4·(3a−1)+7·(5−2a); 3) 4y−2·(10y−1)+(8y−2); 4) 12·(2−3p)+35p−9·(p+1); 5) 6x·(x−3)−x·(2−x); 6) −a²·(3a−5)+4a·(a²−a); 7) ax·(2x−3a)−x·(ax+5a²); 8) −4m²·(n²−m²)+3n²·(m²−n²).
Ответ:
- \(3(2x-1)+5(3-x)=6x-3+15-5x=\boxed{x+12}\).
- \(25a-4(3a-1)+7(5-2a)=25a-12a+4+35-14a=\boxed{-a+39}\).
- \(4y-2(10y-1)+(8y-2)=4y-20y+2+8y-2=\boxed{-8y}\).
- \(12(2-3p)+35p-9(p+1)=24-36p+35p-9p-9=\boxed{15-10p}\).
- \(6x(x-3)-x(2-x)=6x^2-18x-2x+x^2=\boxed{7x^2-20x}\).
- \(-a^2(3a-5)+4a(a^2-a)=-3a^3+5a^2+4a^3-4a^2=\boxed{a^3+a^2}\).
- \(ax(2x-3a)-x(ax+5a^2)=2ax^2-3a^2x-ax^2-5a^2x=\boxed{ax^2-8a^2x}\).
- \(-4m^2(n^2-m^2)+3n^2(m^2-n^2)=-4m^2n^2+4m^4+3m^2n^2-3n^4=\boxed{4m^4-m^2n^2-3n^4}\).