Ontbinden in factoren

\(x^{2} + 3 x = x (x + 3)\)

\(16 a^{2} - 28 a = 4 a (4 a - 7)\)

\(25 a b + 40 a = 5 a (5 b + 8)\)

\(35 x y + 45 x z = 5 x (7 y + 9 z)\)

\(10 a b c + 25 a b = 5 a b (2 c + 5)\)

\(15 x^{5} - 18 x^{2} = 3 x^{2} (5 x^{3} - 6)\)

\(5 a^{7} + 9 a^{6} + a^{3} = a^{3} (5 a^{4} + 9 a^{3} + 1)\)

\(20 a^{3} b^{4} - 32 a b^{2} = 4 a b^{2} (5 a^{2} b^{2} - 8)\)

\(x^{2} + 6 x = (x + 3)^{2} - 9\)

\(x^{2} + 13 x - 12 = (x + 6\frac{1}{2})^{2} - 42\frac{1}{4} - 12\)

\(\text{} = (x + 6\frac{1}{2})^{2} - 54\frac{1}{4}\)

\(4 x^{2} + 24 x + 13 = 4 (x^{2} + 6 x) + 13\)

\(\text{} = 4 ((x + 3)^{2} - 9) + 13\)

\(\text{} = 4 (x + 3)^{2} - 36 + 13\)
\(\text{} = 4 (x + 3)^{2} - 23\)

\(x^{2} + 8 x + 7 = (x + 1) (x + 7)\)

\(a^{2} - 4 a - 45 = (a - 9) (a + 5)\)

\(x^{2} - 14 x + 45 = (x - 9) (x - 5)\)

\(x^{2} - 16 x + 64 = (x - 8) (x - 8)\)

\(4 a^{4} - 4 a^{3} - 8 a^{2} = 4 a^{2} (a^{2} - a - 2) = 4 a^{2} (a + 1) (a - 2)\)

\(p^{8} + 7 p^{4} - 18 = (p^{4} - 2) (p^{4} + 9)\)

\(a^{2} - 25 = (a - 5) (a + 5)\)

\(4 p^{2} - 9 = (2 p - 3) (2 p + 3)\)

\(25 - 144 p^{2} = (5 - 12 p) (5 + 12 p)\)

\(144 a^{10} - 49 = (12 a^{5} - 7) (12 a^{5} + 7)\)

\(50 a^{2} - 32 = 2 (25 a^{2} - 16) = 2 (5 a - 4) (5 a + 4)\)

\(75 a^{4} - 3 a^{2} = 3 a^{2} (25 a^{2} - 1) = 3 a^{2} (5 a - 1) (5 a + 1)\)

\(x^{8} - 81 = (x^{4} - 9) (x^{4} + 9) = (x^{2} - 3) (x^{2} + 3) (x^{4} + 9)\)

\(p^{11} - 81 p^{3} = p^{3} (p^{8} - 81) = p^{3} (p^{4} - 9) (p^{4} + 9) = p^{3} (p^{2} - 3) (p^{2} + 3) (p^{4} + 9)\)

\(x^{12} y^{6} - 16 z^{8} = (x^{6} y^{3} - 4 z^{4}) (x^{6} y^{3} + 4 z^{4})\)