Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121y^2-16p^{16}\)
- \(36q^2+12q+1\)
- \(225y^2+390y+169\)
- \(144b^{6}-1\)
- \(49y^{6}-182y^3+169\)
- \(-81q^2+25\)
- \(144a^{8}+168a^4+49\)
- \(9q^{8}-121y^2\)
- \(81s^2-1\)
- \(225a^{10}-64\)
- \(4b^{10}+4b^5s+1s^2\)
- \(b^2-2b+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121y^2-16p^{16}=(11y-4p^8)(11y+4p^8)\)
- \(36q^2+12q+1=(6q+1)^2\)
- \(225y^2+390y+169=(15y+13)^2\)
- \(144b^{6}-1=(12b^3+1)(12b^3-1)\)
- \(49y^{6}-182y^3+169=(7y^3-13)^2\)
- \(-81q^2+25=(5-9q)(5+9q)\)
- \(144a^{8}+168a^4+49=(12a^4+7)^2\)
- \(9q^{8}-121y^2=(3q^4+11y)(3q^4-11y)\)
- \(81s^2-1=(9s+1)(9s-1)\)
- \(225a^{10}-64=(15a^5+8)(15a^5-8)\)
- \(4b^{10}+4b^5s+1s^2=(2b^5+s)^2\)
- \(b^2-2b+1=(b-1)^2\)