Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(169x^{8}+130x^4+25\)
- \(9x^{10}+30x^5+25\)
- \(-100p^2+121\)
- \(a^2+30a+225\)
- \(-100q^2+169\)
- \(121-225p^{12}\)
- \(25b^2-70b+49\)
- \(256x^{12}-49\)
- \(4x^2-225\)
- \(81-16q^{14}\)
- \(y^2+6y+9\)
- \(p^2+10p+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(169x^{8}+130x^4+25=(13x^4+5)^2\)
- \(9x^{10}+30x^5+25=(3x^5+5)^2\)
- \(-100p^2+121=(11-10p)(11+10p)\)
- \(a^2+30a+225=(a+15)^2\)
- \(-100q^2+169=(13-10q)(13+10q)\)
- \(121-225p^{12}=(11-15p^6)(11+15p^6)\)
- \(25b^2-70b+49=(5b-7)^2\)
- \(256x^{12}-49=(16x^6+7)(16x^6-7)\)
- \(4x^2-225=(2x+15)(2x-15)\)
- \(81-16q^{14}=(9-4q^7)(9+4q^7)\)
- \(y^2+6y+9=(y+3)^2\)
- \(p^2+10p+25=(p+5)^2\)