Ontbind in factoren.
1p
\(x^{2} + 2 x\)
○
\(x^{2} + 2 x = x (x + 2)\)
1p
Ontbind in factoren.
1p
\(6 a^{2} + 10 a\)
○
\(6 a^{2} + 10 a = 2 a (3 a + 5)\)
1p
Ontbind in factoren.
1p
\(6 a b + 27 a\)
○
\(6 a b + 27 a = 3 a (2 b + 9)\)
1p
Ontbind in factoren.
1p
\(9 x y + 21 x z\)
○
\(9 x y + 21 x z = 3 x (3 y + 7 z)\)
1p
Ontbind in factoren.
1p
\(40 x y z + 45 x y\)
○
\(40 x y z + 45 x y = 5 x y (8 z + 9)\)
1p
Ontbind in factoren.
1p
\(15 x^{4} - 25 x^{3}\)
○
\(15 x^{4} - 25 x^{3} = 5 x^{3} (3 x - 5)\)
1p
Ontbind in factoren.
1p
\(8 p^{8} - 9 p^{3} + p^{6}\)
○
\(8 p^{8} - 9 p^{3} + p^{6} = p^{3} (8 p^{5} - 9 + p^{3})\)
1p
Ontbind in factoren.
1p
\(6 x^{4} y - 8 x^{3} y^{3}\)
○
\(6 x^{4} y - 8 x^{3} y^{3} = 2 x^{3} y (3 x - 4 y^{2})\)
1p
Splits het kwadraat af.
1p
\(x^{2} - 17 x\)
○
\(x^{2} - 17 x = (x - 8\frac{1}{2})^{2} - 72\frac{1}{4}\)
1p
Splits het kwadraat af.
2p
\(x^{2} + 5 x - 8\)
○
\(x^{2} + 5 x - 8 = (x + 2\frac{1}{2})^{2} - 6\frac{1}{4} - 8\)
1p
○
\(\text{} = (x + 2\frac{1}{2})^{2} - 14\frac{1}{4}\)
1p
Splits het kwadraat af.
3p
\(3 x^{2} - 9 x - 17\)
○
\(3 x^{2} - 9 x - 17 = 3 (x^{2} - 3 x) - 17\)
1p
○
\(\text{} = 3 ((x - 1\frac{1}{2})^{2} - 2\frac{1}{4}) - 17\)
1p
○
\(\text{} = 3 (x - 1\frac{1}{2})^{2} - 6\frac{3}{4} - 17\)
\(\text{} = 3 (x - 1\frac{1}{2})^{2} - 23\frac{3}{4}\)
1p
Ontbind in factoren.
1p
\(p^{2} + 15 p + 56\)
○
\(p^{2} + 15 p + 56 = (p + 8) (p + 7)\)
1p
Ontbind in factoren.
1p
\(a^{2} - 3 a - 18\)
○
\(a^{2} - 3 a - 18 = (a - 6) (a + 3)\)
1p
Ontbind in factoren.
1p
\(a^{2} - 7 a + 12\)
○
\(a^{2} - 7 a + 12 = (a - 3) (a - 4)\)
1p
Ontbind in factoren.
1p
\(a^{2} + 2 a + 1\)
○
\(a^{2} + 2 a + 1 = (a + 1) (a + 1)\)
1p
Ontbind in factoren.
1p
\(4 x^{5} - 40 x^{4} + 84 x^{3}\)
○
\(4 x^{5} - 40 x^{4} + 84 x^{3} = 4 x^{3} (x^{2} - 10 x + 21) = 4 x^{3} (x - 7) (x - 3)\)
1p
Ontbind in factoren.
1p
\(a^{10} + 9 a^{5} + 18\)
○
\(a^{10} + 9 a^{5} + 18 = (a^{5} + 6) (a^{5} + 3)\)
1p
Ontbind in factoren.
1p
\(x^{2} - 100\)
○
\(x^{2} - 100 = (x - 10) (x + 10)\)
1p
Ontbind in factoren.
1p
\(100 a^{2} - 49\)
○
\(100 a^{2} - 49 = (10 a - 7) (10 a + 7)\)
1p
Ontbind in factoren.
1p
\(25 - 49 p^{2}\)
○
\(25 - 49 p^{2} = (5 - 7 p) (5 + 7 p)\)
1p
Ontbind in factoren.
1p
\(16 x^{4} - 49\)
○
\(16 x^{4} - 49 = (4 x^{2} - 7) (4 x^{2} + 7)\)
1p
Ontbind in factoren.
1p
\(12 x^{2} - 75\)
○
\(12 x^{2} - 75 = 3 (4 x^{2} - 25) = 3 (2 x - 5) (2 x + 5)\)
1p
Ontbind in factoren.
1p
\(12 a^{3} - 75 a\)
○
\(12 a^{3} - 75 a = 3 a (4 a^{2} - 25) = 3 a (2 a - 5) (2 a + 5)\)
1p
Ontbind in factoren.
1p
\(a^{4} - 81\)
○
\(a^{4} - 81 = (a^{2} - 9) (a^{2} + 9) = (a - 3) (a + 3) (a^{2} + 9)\)
1p
Ontbind in factoren.
1p
\(3 x^{6} - 3 x^{2}\)
○
\(3 x^{6} - 3 x^{2} = 3 x^{2} (x^{4} - 1) = 3 x^{2} (x^{2} - 1) (x^{2} + 1) = 3 x^{2} (x - 1) (x + 1) (x^{2} + 1)\)
1p
Ontbind in factoren.
1p
\(p^{4} q^{8} - 81 r^{2}\)
○
\(p^{4} q^{8} - 81 r^{2} = (p^{2} q^{4} - 9 r) (p^{2} q^{4} + 9 r)\)
1p