Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(36b^{6}-60b^3q+25q^2\)
- \(144b^{6}-264b^3+121\)
- \(25b^2-144\)
- \(49a^{12}-4s^2\)
- \(36p^{16}-1\)
- \(a^2-6a+9\)
- \(-225s^2+64\)
- \(a^2-30a+225\)
- \(16p^{8}-56p^4+49\)
- \(25-16s^{6}\)
- \(4a^{6}+4a^3+1\)
- \(-121q^2+196\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(36b^{6}-60b^3q+25q^2=(6b^3-5q)^2\)
- \(144b^{6}-264b^3+121=(12b^3-11)^2\)
- \(25b^2-144=(5b+12)(5b-12)\)
- \(49a^{12}-4s^2=(7a^6+2s)(7a^6-2s)\)
- \(36p^{16}-1=(6p^8+1)(6p^8-1)\)
- \(a^2-6a+9=(a-3)^2\)
- \(-225s^2+64=(8-15s)(8+15s)\)
- \(a^2-30a+225=(a-15)^2\)
- \(16p^{8}-56p^4+49=(4p^4-7)^2\)
- \(25-16s^{6}=(5-4s^3)(5+4s^3)\)
- \(4a^{6}+4a^3+1=(2a^3+1)^2\)
- \(-121q^2+196=(14-11q)(14+11q)\)