👤

Evidentiaza factorii comuni in expresie: 123×5+123×1007+123×35789 43×x+a×43+43×b-m×43 39×73+39×56+39×56+39×1256 42×a-13×a-15×a-11×a

Răspuns :

[tex]1)123 \times 5 + 123 \times 1007 + 123 \times 35789[/tex]

[tex] = 123(5 + 1007 + 35789)[/tex]

[tex] = 123 \times (1012 + 35789)[/tex]

[tex] = 123 \times 36801[/tex]

[tex] = 4526523[/tex]

[tex]2)43x + 43a + 43b - 43m[/tex]

[tex] = 43(x + a + b - m)[/tex]

[tex]3)39 \times 73 + 39 \times 56 + 39 \times 56 + 39 \times 1256[/tex]

[tex] = 39(73 + 56 + 56 + 1256)[/tex]

[tex] = 39(129 + 56 + 1256)[/tex]

[tex] = 39(185 + 1256)[/tex]

[tex] = 39 \times 1441[/tex]

[tex] = 56199[/tex]

[tex]4)42a - 13a - 15a - 11a[/tex]

[tex] = a(42 - 13 - 15 - 11)[/tex]

[tex] = a(29 - 15 - 11)[/tex]

[tex] = a(14 - 11)[/tex]

[tex] = a \times 3[/tex]

[tex] = 3a[/tex]