WISKUNDE
NOG OEFENINGE
Groepering om 'n gemeenskaplike faktor te kry.

Vraag 1
Ontbind volledig in faktore :

$$\hspace*{6 mm}\mathrm{1.\kern2mm\ ac + ad + bc + bd }$$
$$\hspace*{6 mm}\mathrm{2.\kern2mm\ ac + ad - bc - bd }$$
$$\hspace*{6 mm}\mathrm{3.\kern2mm\ mp - mq- np + nq }$$
$$\hspace*{6 mm}\mathrm{4.\kern2mm\ ac + ad + c + d }$$
$$\hspace*{6 mm}\mathrm{5.\kern2mm\ mx + nx - 2m - 2n }$$
$$\hspace*{6 mm}\mathrm{6.\kern2mm\ mx - 3m + 2nx - 6n }$$
$$\hspace*{6 mm}\mathrm{7.\kern2mm\ 3ac + 6bc + ad + 2bd }$$
$$\hspace*{6 mm}\mathrm{8.\kern2mm\ 2ac - bc - 6ad + 3bd }$$
$$\hspace*{6 mm}\mathrm{9.\kern2mm\ mx + 2nx - 3m - 6n }$$
$$\hspace*{6 mm}\mathrm{10.\kern2mm\ 3ac + ad + 6bc + 2bd }$$
$$\hspace*{6 mm}\mathrm{11.\kern2mm\ 2ac - 6ad - bc + 3bd }$$
$$\hspace*{6 mm}\mathrm{12.\kern2mm\ ab + 2b + 3a + 6 }$$
$$\hspace*{6 mm}\mathrm{13.\kern2mm\ 3x^2 - 4xz + 6xy - 8yz }$$
$$\hspace*{6 mm}\mathrm{14.\kern2mm\ 2xy - y^2 + 10xz - 5yz }$$
$$\hspace*{6 mm}\mathrm{15.\kern2mm\ ab + 3a + 2b + 6 }$$
$$\hspace*{6 mm}\mathrm{16.\kern2mm\ cd - 7c - 4d + 28 }$$
$$\hspace*{6 mm}\mathrm{17.\kern2mm\ mn - 3m + b - 3 }$$
$$\hspace*{6 mm}\mathrm{18.\kern2mm\ pq + 2p - 5q - 10 }$$
$$\hspace*{6 mm}\mathrm{19.\kern2mm\ 14x - 6xy + 21 - 9y }$$
$$\hspace*{6 mm}\mathrm{20.\kern2mm\ 20 + 8y - 15x - 6xy }$$
$$\hspace*{6 mm}\mathrm{21.\kern2mm\ 2ab - 6a + 4b - 12 }$$
$$\hspace*{6 mm}\mathrm{22.\kern2mm\ 6pq - 15p + 18q - 45 }$$
$$\hspace*{6 mm}\mathrm{23.\kern2mm\ 6ac - 8ad + 12bc - 16bd }$$
$$\hspace*{6 mm}\mathrm{24.\kern2mm\ 6p^2 + 3pr + 12pq + 6qr }$$
$$\hspace*{6 mm}\mathrm{25.\kern2mm\ 2a^2c + abc - 6a^2d - 3abd }$$
$$\hspace*{6 mm}\mathrm{26.\kern2mm\ m^2p - 2mnp + 5m^2q - 10mnq }$$
$$\hspace*{6 mm}\mathrm{27.\kern2mm\ 12a^2c + 4abc - 30a^2d - 10abd }$$
$$\hspace*{6 mm}\mathrm{28.\kern2mm\ 6x^2y - 9xy^2 + 12x^2z - 18xyz }$$
$$\hspace*{6 mm}\mathrm{29.\kern2mm\ 2a + 2b + ax + bx + ay + by }$$
$$\hspace*{6 mm}\mathrm{30.\kern2mm\ ap + bp + aq + bq + ar + br }$$
$$\hspace*{6 mm}\mathrm{31.\kern2mm\ px - qx - py - qy + pz - qz }$$
$$\hspace*{6 mm}\mathrm{32.\kern2mm\ ap - aq - bp + bq - cp + cq }$$
$$\hspace*{6 mm}\mathrm{33.\kern2mm\ 6mx - 2my - 3nx + ny - 5px + 5py }$$
$$\hspace*{6 mm}\mathrm{34.\kern2mm\ 6ax + 9bx - 12ay - 18by + 24az + 36bz }$$

Vraag 1
Ontbind volledig in faktore :

$$\hspace*{6 mm}\mathrm{1.\kern2mm\ ac + ad + bc + bd }$$
$$\hspace*{6 mm}\mathrm{3.\kern2mm\ mp - mq- np + nq }$$
$$\hspace*{6 mm}\mathrm{5.\kern2mm\ mx + nx - 2m - 2n }$$
$$\hspace*{6 mm}\mathrm{7.\kern2mm\ 3ac + 6bc + ad + 2bd }$$
$$\hspace*{6 mm}\mathrm{9.\kern2mm\ mx + 2nx - 3m - 6n }$$
$$\hspace*{6 mm}\mathrm{11.\kern2mm\ 2ac - 6ad - bc + 3bd }$$
$$\hspace*{6 mm}\mathrm{13.\kern2mm\ 3x^2 - 4xz + 6xy - 8yz }$$
$$\hspace*{6 mm}\mathrm{15.\kern2mm\ ab + 3a + 2b + 6 }$$
$$\hspace*{6 mm}\mathrm{17.\kern2mm\ mn - 3m + b - 3 }$$
$$\hspace*{6 mm}\mathrm{19.\kern2mm\ 14x - 6xy + 21 - 9y }$$
$$\hspace*{6 mm}\mathrm{21.\kern2mm\ 2ab - 6a + 4b - 12 }$$
$$\hspace*{6 mm}\mathrm{23.\kern2mm\ 6ac - 8ad + 12bc - 16bd }$$
$$\hspace*{6 mm}\mathrm{25.\kern2mm\ 2a^2c + abc - 6a^2d - 3abd }$$
$$\hspace*{6 mm}\mathrm{27.\kern2mm\ 12a^2c + 4abc - 30a^2d - 10abd }$$
$$\hspace*{6 mm}\mathrm{29.\kern2mm\ 2a + 2b + ax + bx + ay + by }$$
$$\hspace*{6 mm}\mathrm{31.\kern2mm\ px - qx - py - qy + pz - qz }$$
$$\hspace*{6 mm}\mathrm{33.\kern2mm\ 6mx - 2my - 3nx + ny - 5px + 5py }$$

$$\hspace*{6 mm}\mathrm{2.\kern2mm\ ac + ad - bc - bd }$$
$$\hspace*{6 mm}\mathrm{4.\kern2mm\ ac + ad + c + d }$$
$$\hspace*{6 mm}\mathrm{6.\kern2mm\ mx - 3m + 2nx - 6n }$$
$$\hspace*{6 mm}\mathrm{8.\kern2mm\ 2ac - bc - 6ad + 3bd }$$
$$\hspace*{6 mm}\mathrm{10.\kern2mm\ 3ac + ad + 6bc + 2bd }$$
$$\hspace*{6 mm}\mathrm{12.\kern2mm\ ab + 2b + 3a + 6 }$$
$$\hspace*{6 mm}\mathrm{14.\kern2mm\ 2xy - y^2 + 10xz - 5yz }$$
$$\hspace*{6 mm}\mathrm{16.\kern2mm\ cd - 7c - 4d + 28 }$$
$$\hspace*{6 mm}\mathrm{18.\kern2mm\ pq + 2p - 5q - 10 }$$
$$\hspace*{6 mm}\mathrm{20.\kern2mm\ 20 + 8y - 15x - 6xy }$$
$$\hspace*{6 mm}\mathrm{22.\kern2mm\ 6pq - 15p + 18q - 45 }$$
$$\hspace*{6 mm}\mathrm{24.\kern2mm\ 6p^2 + 3pr + 12pq + 6qr }$$
$$\hspace*{6 mm}\mathrm{26.\kern2mm\ m^2p - 2mnp + 5m^2q - 10mnq }$$
$$\hspace*{6 mm}\mathrm{28.\kern2mm\ 6x^2y - 9xy^2 + 12x^2z - 18xyz }$$
$$\hspace*{6 mm}\mathrm{30.\kern2mm\ ap + bp + aq + bq + ar + br }$$
$$\hspace*{6 mm}\mathrm{32.\kern2mm\ ap - aq - bp + bq - cp + cq }$$
$$\hspace*{6 mm}\mathrm{34.\kern2mm\ 6ax + 9bx - 12ay - 18by + 24az + 36bz }$$

 Na bo Oefeninge - Graad 10 Oefeninge - Graad 11 Oefeninge - Graad 12 Tuisblad