Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(q^2+20q+100\)
- \(81y^{16}-100\)
- \(b^2-169\)
- \(16a^{10}-56a^5p+49p^2\)
- \(36p^{16}-121q^2\)
- \(q^2-4q+4\)
- \(25x^{12}-4\)
- \(p^2-16\)
- \(169s^{16}-196\)
- \(100a^{10}-81\)
- \(-121s^2+196\)
- \(144a^{10}+24a^5+1\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(q^2+20q+100=(q+10)^2\)
- \(81y^{16}-100=(9y^8+10)(9y^8-10)\)
- \(b^2-169=(b+13)(b-13)\)
- \(16a^{10}-56a^5p+49p^2=(4a^5-7p)^2\)
- \(36p^{16}-121q^2=(6p^8+11q)(6p^8-11q)\)
- \(q^2-4q+4=(q-2)^2\)
- \(25x^{12}-4=(5x^6+2)(5x^6-2)\)
- \(p^2-16=(p-4)(p+4)\)
- \(169s^{16}-196=(13s^8+14)(13s^8-14)\)
- \(100a^{10}-81=(10a^5+9)(10a^5-9)\)
- \(-121s^2+196=(14-11s)(14+11s)\)
- \(144a^{10}+24a^5+1=(12a^5+1)^2\)