Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(s^2-25\)
- \(q^2-9\)
- \(49a^{14}-1\)
- \(81s^2-196a^{8}\)
- \(36x^{8}-132x^4y+121y^2\)
- \(a^2-36\)
- \(256a^2-1\)
- \(169x^2-156x+36\)
- \(a^2+24a+144\)
- \(121-25y^{10}\)
- \(121p^{12}-64q^2\)
- \(25b^{8}-16\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(s^2-25=(s-5)(s+5)\)
- \(q^2-9=(q-3)(q+3)\)
- \(49a^{14}-1=(7a^7+1)(7a^7-1)\)
- \(81s^2-196a^{8}=(9s-14a^4)(9s+14a^4)\)
- \(36x^{8}-132x^4y+121y^2=(6x^4-11y)^2\)
- \(a^2-36=(a+6)(a-6)\)
- \(256a^2-1=(16a+1)(16a-1)\)
- \(169x^2-156x+36=(13x-6)^2\)
- \(a^2+24a+144=(a+12)^2\)
- \(121-25y^{10}=(11-5y^5)(11+5y^5)\)
- \(121p^{12}-64q^2=(11p^6+8q)(11p^6-8q)\)
- \(25b^{8}-16=(5b^4+4)(5b^4-4)\)