Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25x^2-144a^{12}\)
2. \(64y^2-25q^{14}\)
3. \(36p^{6}-132p^3x+121x^2\)
4. \(q^2-169\)
5. \(9-169q^{16}\)
6. \(16a^2+88a+121\)
7. \(-144q^2+25\)
8. \(36x^{4}-25\)
9. \(1-16b^{6}\)
10. \(169p^2-156p+36\)
11. \(x^2-22x+121\)
12. \(144p^2+24p+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25x^2-144a^{12}=(5x-12a^6)(5x+12a^6)\)
2. \(64y^2-25q^{14}=(8y-5q^7)(8y+5q^7)\)
3. \(36p^{6}-132p^3x+121x^2=(6p^3-11x)^2\)
4. \(q^2-169=(q+13)(q-13)\)
5. \(9-169q^{16}=(3-13q^8)(3+13q^8)\)
6. \(16a^2+88a+121=(4a+11)^2\)
7. \(-144q^2+25=(5-12q)(5+12q)\)
8. \(36x^{4}-25=(6x^2+5)(6x^2-5)\)
9. \(1-16b^{6}=(1-4b^3)(1+4b^3)\)
10. \(169p^2-156p+36=(13p-6)^2\)
11. \(x^2-22x+121=(x-11)^2\)
12. \(144p^2+24p+1=(12p+1)^2\)