Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(196a^{10}+28a^5+1\)
- \(225-196b^{12}\)
- \(1-100y^{10}\)
- \(100q^2-260q+169\)
- \(p^2-36\)
- \(25b^{10}-90b^5s+81s^2\)
- \(121s^{6}-154s^3y+49y^2\)
- \(b^2+12b+36\)
- \(4q^2-9p^{6}\)
- \(49s^{8}-225\)
- \(-9x^2+16\)
- \(196-169a^{4}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(196a^{10}+28a^5+1=(14a^5+1)^2\)
- \(225-196b^{12}=(15-14b^6)(15+14b^6)\)
- \(1-100y^{10}=(1-10y^5)(1+10y^5)\)
- \(100q^2-260q+169=(10q-13)^2\)
- \(p^2-36=(p+6)(p-6)\)
- \(25b^{10}-90b^5s+81s^2=(5b^5-9s)^2\)
- \(121s^{6}-154s^3y+49y^2=(11s^3-7y)^2\)
- \(b^2+12b+36=(b+6)^2\)
- \(4q^2-9p^{6}=(2q-3p^3)(2q+3p^3)\)
- \(49s^{8}-225=(7s^4+15)(7s^4-15)\)
- \(-9x^2+16=(4-3x)(4+3x)\)
- \(196-169a^{4}=(14-13a^2)(14+13a^2)\)