Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225s^2-4\)
- \(49x^{12}-9\)
- \(196p^{14}-9x^2\)
- \(4p^2+4p+1\)
- \(64-25p^{12}\)
- \(25-16p^{10}\)
- \(81q^2-256b^{6}\)
- \(81q^{12}-49x^2\)
- \(144s^{6}-121\)
- \(25p^2-121\)
- \(-49q^2+225\)
- \(b^2-10b+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225s^2-4=(15s+2)(15s-2)\)
- \(49x^{12}-9=(7x^6+3)(7x^6-3)\)
- \(196p^{14}-9x^2=(14p^7+3x)(14p^7-3x)\)
- \(4p^2+4p+1=(2p+1)^2\)
- \(64-25p^{12}=(8-5p^6)(8+5p^6)\)
- \(25-16p^{10}=(5-4p^5)(5+4p^5)\)
- \(81q^2-256b^{6}=(9q-16b^3)(9q+16b^3)\)
- \(81q^{12}-49x^2=(9q^6+7x)(9q^6-7x)\)
- \(144s^{6}-121=(12s^3+11)(12s^3-11)\)
- \(25p^2-121=(5p+11)(5p-11)\)
- \(-49q^2+225=(15-7q)(15+7q)\)
- \(b^2-10b+25=(b-5)^2\)