Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16x^2-225b^{8}\)
- \(64x^2-112x+49\)
- \(p^2-10p+25\)
- \(225a^{14}-4p^2\)
- \(100q^{14}-169\)
- \(81p^2-234p+169\)
- \(4s^{6}+28s^3+49\)
- \(121y^2-144\)
- \(a^2-121\)
- \(-16y^2+81\)
- \(q^2+28q+196\)
- \(p^2-144\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16x^2-225b^{8}=(4x-15b^4)(4x+15b^4)\)
- \(64x^2-112x+49=(8x-7)^2\)
- \(p^2-10p+25=(p-5)^2\)
- \(225a^{14}-4p^2=(15a^7+2p)(15a^7-2p)\)
- \(100q^{14}-169=(10q^7+13)(10q^7-13)\)
- \(81p^2-234p+169=(9p-13)^2\)
- \(4s^{6}+28s^3+49=(2s^3+7)^2\)
- \(121y^2-144=(11y+12)(11y-12)\)
- \(a^2-121=(a-11)(a+11)\)
- \(-16y^2+81=(9-4y)(9+4y)\)
- \(q^2+28q+196=(q+14)^2\)
- \(p^2-144=(p-12)(p+12)\)