Ontbind in factoren.
1p
\(p^{2} + 4 p\)
○
\(p^{2} + 4 p = p (p + 4)\)
1p
Ontbind in factoren.
1p
\(6 a^{2} + 7 a\)
○
\(6 a^{2} + 7 a = a (6 a + 7)\)
1p
Ontbind in factoren.
1p
\(12 a b + 15 a\)
○
\(12 a b + 15 a = 3 a (4 b + 5)\)
1p
Ontbind in factoren.
1p
\(6 a b + 27 a c\)
○
\(6 a b + 27 a c = 3 a (2 b + 9 c)\)
1p
Ontbind in factoren.
1p
\(20 x y z + 45 x y\)
○
\(20 x y z + 45 x y = 5 x y (4 z + 9)\)
1p
Ontbind in factoren.
1p
\(4 x^{4} + 6 x^{3}\)
○
\(4 x^{4} + 6 x^{3} = 2 x^{3} (2 x + 3)\)
1p
Ontbind in factoren.
1p
\(3 p^{5} + 5 p + p^{3}\)
○
\(3 p^{5} + 5 p + p^{3} = p (3 p^{4} + 5 + p^{2})\)
1p
Ontbind in factoren.
1p
\(28 a^{5} b^{5} + 32 a^{4} b^{4}\)
○
\(28 a^{5} b^{5} + 32 a^{4} b^{4} = 4 a^{4} b^{4} (7 a b + 8)\)
1p
Splits het kwadraat af.
1p
\(x^{2} + 2 x\)
○
\(x^{2} + 2 x = (x + 1)^{2} - 1\)
1p
Splits het kwadraat af.
2p
\(x^{2} - 7 x - 19\)
○
\(x^{2} - 7 x - 19 = (x - 3\frac{1}{2})^{2} - 12\frac{1}{4} - 19\)
1p
○
\(\text{} = (x - 3\frac{1}{2})^{2} - 31\frac{1}{4}\)
1p
Splits het kwadraat af.
3p
\(2 x^{2} - 8 x + 15\)
○
\(2 x^{2} - 8 x + 15 = 2 (x^{2} - 4 x) + 15\)
1p
○
\(\text{} = 2 ((x - 2)^{2} - 4) + 15\)
1p
○
\(\text{} = 2 (x - 2)^{2} - 8 + 15\)
\(\text{} = 2 (x - 2)^{2} + 7\)
1p
Ontbind in factoren.
1p
\(a^{2} + 15 a + 54\)
○
\(a^{2} + 15 a + 54 = (a + 9) (a + 6)\)
1p
Ontbind in factoren.
1p
\(p^{2} + 2 p - 15\)
○
\(p^{2} + 2 p - 15 = (p + 5) (p - 3)\)
1p
Ontbind in factoren.
1p
\(a^{2} - 13 a + 40\)
○
\(a^{2} - 13 a + 40 = (a - 8) (a - 5)\)
1p
Ontbind in factoren.
1p
\(x^{2} - 4 x + 4\)
○
\(x^{2} - 4 x + 4 = (x - 2) (x - 2)\)
1p
Ontbind in factoren.
1p
\(4 a^{5} - 16 a^{4} - 20 a^{3}\)
○
\(4 a^{5} - 16 a^{4} - 20 a^{3} = 4 a^{3} (a^{2} - 4 a - 5) = 4 a^{3} (a - 5) (a + 1)\)
1p
Ontbind in factoren.
1p
\(p^{12} + 12 p^{6} + 27\)
○
\(p^{12} + 12 p^{6} + 27 = (p^{6} + 3) (p^{6} + 9)\)
1p
Ontbind in factoren.
1p
\(a^{2} - 144\)
○
\(a^{2} - 144 = (a - 12) (a + 12)\)
1p
Ontbind in factoren.
1p
\(4 a^{2} - 1\)
○
\(4 a^{2} - 1 = (2 a - 1) (2 a + 1)\)
1p
Ontbind in factoren.
1p
\(121 - 144 a^{2}\)
○
\(121 - 144 a^{2} = (11 - 12 a) (11 + 12 a)\)
1p
Ontbind in factoren.
1p
\(144 x^{4} - 121\)
○
\(144 x^{4} - 121 = (12 x^{2} - 11) (12 x^{2} + 11)\)
1p
Ontbind in factoren.
1p
\(36 p^{2} - 16\)
○
\(36 p^{2} - 16 = 4 (9 p^{2} - 4) = 4 (3 p - 2) (3 p + 2)\)
1p
Ontbind in factoren.
1p
\(32 x^{4} - 2 x^{2}\)
○
\(32 x^{4} - 2 x^{2} = 2 x^{2} (16 x^{2} - 1) = 2 x^{2} (4 x - 1) (4 x + 1)\)
1p
Ontbind in factoren.
1p
\(x^{12} - 16\)
○
\(x^{12} - 16 = (x^{6} - 4) (x^{6} + 4) = (x^{3} - 2) (x^{3} + 2) (x^{6} + 4)\)
1p
Ontbind in factoren.
1p
\(a^{6} - 81 a^{2}\)
○
\(a^{6} - 81 a^{2} = a^{2} (a^{4} - 81) = a^{2} (a^{2} - 9) (a^{2} + 9) = a^{2} (a - 3) (a + 3) (a^{2} + 9)\)
1p
Ontbind in factoren.
1p
\(a^{8} b^{8} - 64 c^{10}\)
○
\(a^{8} b^{8} - 64 c^{10} = (a^{4} b^{4} - 8 c^{5}) (a^{4} b^{4} + 8 c^{5})\)
1p