Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(225q^{10}+210q^5+49\)
- \(144q^{8}-264q^4x+121x^2\)
- \(169b^{8}-156b^4y+36y^2\)
- \(p^2-20p+100\)
- \(144s^2-168s+49\)
- \(25-64q^{10}\)
- \(16s^2+88s+121\)
- \(225a^{4}-420a^2p+196p^2\)
- \(196a^{10}+252a^5+81\)
- \(49q^{6}+168q^3+144\)
- \(9q^2-66q+121\)
- \(49x^2-100s^{6}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(225q^{10}+210q^5+49=(15q^5+7)^2\)
- \(144q^{8}-264q^4x+121x^2=(12q^4-11x)^2\)
- \(169b^{8}-156b^4y+36y^2=(13b^4-6y)^2\)
- \(p^2-20p+100=(p-10)^2\)
- \(144s^2-168s+49=(12s-7)^2\)
- \(25-64q^{10}=(5-8q^5)(5+8q^5)\)
- \(16s^2+88s+121=(4s+11)^2\)
- \(225a^{4}-420a^2p+196p^2=(15a^2-14p)^2\)
- \(196a^{10}+252a^5+81=(14a^5+9)^2\)
- \(49q^{6}+168q^3+144=(7q^3+12)^2\)
- \(9q^2-66q+121=(3q-11)^2\)
- \(49x^2-100s^{6}=(7x-10s^3)(7x+10s^3)\)