Разложите многочлен на множители

(6mx – 2m) + (9х – 3) =

= 2m(3x – 1) + 3(3х – 1) =

(3x – 1)(2m + 3)

(7х + 7а) + (– 5ах – 5а2) =

= 7(х + а) – 5а(х + а) =

(х + а)(7 – 5а)

(у3 – 2у2) + (2у – 4) =

= у2(у – 2) + 2(у – 2) =

(у – 2)(у2 + 2)

(х3 – 14х2) + (28 – 2х) =

= х2(х – 14) – 2(х – 14) =

(х – 14)(х2 – 2)

= (20n2 + 50n)+ (– 35а – 14аn) =

= 10n(2n + 5) – 7а(5 + 2n) =

(2n + 5)(10n – 7а)

*
К л а с с н а я р а б о т а.
Способ группировки.

= (х + 2)(х + 3)

х(х + 3) + 2(х + 3)

= (х + 3)(х + 2)

х(х + 4) + 1(х + 6)

(х + 2)(х + 3)

х(х + 2) + 4(х + 2)

= (х + 2)(х + 4)

х(х + 4) + 2(х + 4)

= (х + 4)(х + 2)

х(х + 3) + 1(3х + 8)

(х + 2)(х + 4)

х2 – 5х – 2х + 12 =

х2 – 2х – 5х + 12 =

х2 – 4х – 3х + 12 =

х2 – 3х – 4х + 12 =

х(х – 6) – 1(х – 12)

х(х – 1) – 6(х – 2)

х(х – 5) – 2(х – 6)

х(х – 2) – 1(5х – 12)

х(х – 4) – 3(х – 4)

= (х – 4)(х – 3)

х(х – 3) – 4(х – 3)

= (х – 3)(х – 4)

(х – 4)(х – 3)

х2 = – 3

Ответ: – 3; – 2.

х2 = – 4

Ответ: – 4; – 2.

х2 = 3

Ответ: 3; 4.