Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225b^{6}-420b^3q+196q^2\)
2. \(64x^2-25q^{12}\)
3. \(144p^{4}+168p^2+49\)
4. \(64b^2+80b+25\)
5. \(b^2-16\)
6. \(121-256x^{8}\)
7. \(16x^{8}-81\)
8. \(225x^{10}-16\)
9. \(64y^{10}+240y^5+225\)
10. \(144q^{8}-49\)
11. \(256a^{6}-225p^2\)
12. \(169q^2-16a^{12}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225b^{6}-420b^3q+196q^2=(15b^3-14q)^2\)
2. \(64x^2-25q^{12}=(8x-5q^6)(8x+5q^6)\)
3. \(144p^{4}+168p^2+49=(12p^2+7)^2\)
4. \(64b^2+80b+25=(8b+5)^2\)
5. \(b^2-16=(b+4)(b-4)\)
6. \(121-256x^{8}=(11-16x^4)(11+16x^4)\)
7. \(16x^{8}-81=(4x^4+9)(4x^4-9)\)
8. \(225x^{10}-16=(15x^5+4)(15x^5-4)\)
9. \(64y^{10}+240y^5+225=(8y^5+15)^2\)
10. \(144q^{8}-49=(12q^4+7)(12q^4-7)\)
11. \(256a^{6}-225p^2=(16a^3+15p)(16a^3-15p)\)
12. \(169q^2-16a^{12}=(13q-4a^6)(13q+4a^6)\)