Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(36q^2-132q+121\)
- \(25x^{8}-121\)
- \(-49a^2+225\)
- \(25a^{8}-90a^4x+81x^2\)
- \(81q^{10}+72q^5s+16s^2\)
- \(196q^2+28q+1\)
- \(25p^{16}-196\)
- \(121y^{16}-100\)
- \(q^2-4\)
- \(225p^{6}+390p^3+169\)
- \(64p^{14}-25\)
- \(64a^2-112a+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(36q^2-132q+121=(6q-11)^2\)
- \(25x^{8}-121=(5x^4+11)(5x^4-11)\)
- \(-49a^2+225=(15-7a)(15+7a)\)
- \(25a^{8}-90a^4x+81x^2=(5a^4-9x)^2\)
- \(81q^{10}+72q^5s+16s^2=(9q^5+4s)^2\)
- \(196q^2+28q+1=(14q+1)^2\)
- \(25p^{16}-196=(5p^8+14)(5p^8-14)\)
- \(121y^{16}-100=(11y^8+10)(11y^8-10)\)
- \(q^2-4=(q+2)(q-2)\)
- \(225p^{6}+390p^3+169=(15p^3+13)^2\)
- \(64p^{14}-25=(8p^7+5)(8p^7-5)\)
- \(64a^2-112a+49=(8a-7)^2\)