Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(p^2-30p+225\)
- \(p^2-25\)
- \(49q^2-224q+256\)
- \(100q^2+220q+121\)
- \(49-225b^{12}\)
- \(4a^{6}+4a^3+1\)
- \(36a^{10}-25y^2\)
- \(-225y^2+64\)
- \(100q^2+20q+1\)
- \(25s^{10}-49\)
- \(s^2-169\)
- \(s^2+16s+64\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(p^2-30p+225=(p-15)^2\)
- \(p^2-25=(p+5)(p-5)\)
- \(49q^2-224q+256=(7q-16)^2\)
- \(100q^2+220q+121=(10q+11)^2\)
- \(49-225b^{12}=(7-15b^6)(7+15b^6)\)
- \(4a^{6}+4a^3+1=(2a^3+1)^2\)
- \(36a^{10}-25y^2=(6a^5+5y)(6a^5-5y)\)
- \(-225y^2+64=(8-15y)(8+15y)\)
- \(100q^2+20q+1=(10q+1)^2\)
- \(25s^{10}-49=(5s^5+7)(5s^5-7)\)
- \(s^2-169=(s+13)(s-13)\)
- \(s^2+16s+64=(s+8)^2\)