1) 35am + 20mu - 10au - 70m^2= 5m(7a + 4u) - 10(7m^2 + u)= 5m(7a + 4u - 70m^2 - 10u)= 5m(7a + 4u - 10u - 70m^2)= 5m(7a - 6u - 70m^2)
2) x^3 + 6x^2 - 4x - 24= x^2(x + 6) - 4(x + 6)= (x^2 - 4)(x + 6)= (x + 2)(x - 2)(x + 6)
3) um^11 + uy^11 - ym^11 - y^12= m^11(u - y) + y^11(u - y)= (u - y)(m^11 + y^11)= (u - y)(m^11 + y^11)
1) 35am + 20mu - 10au - 70m^2
= 5m(7a + 4u) - 10(7m^2 + u)
= 5m(7a + 4u - 70m^2 - 10u)
= 5m(7a + 4u - 10u - 70m^2)
= 5m(7a - 6u - 70m^2)
2) x^3 + 6x^2 - 4x - 24
= x^2(x + 6) - 4(x + 6)
= (x^2 - 4)(x + 6)
= (x + 2)(x - 2)(x + 6)
3) um^11 + uy^11 - ym^11 - y^12
= m^11(u - y) + y^11(u - y)
= (u - y)(m^11 + y^11)
= (u - y)(m^11 + y^11)