Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(4b^{10}+28b^5x+49x^2\)
- \(49a^2-100\)
- \(-169a^2+225\)
- \(81p^2-234p+169\)
- \(16p^2-225a^{6}\)
- \(y^2-4y+4\)
- \(100s^{8}-180s^4+81\)
- \(q^2-18q+81\)
- \(225a^2+30a+1\)
- \(169y^2-144x^{10}\)
- \(x^2-10x+25\)
- \(36p^{10}-132p^5+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(4b^{10}+28b^5x+49x^2=(2b^5+7x)^2\)
- \(49a^2-100=(7a+10)(7a-10)\)
- \(-169a^2+225=(15-13a)(15+13a)\)
- \(81p^2-234p+169=(9p-13)^2\)
- \(16p^2-225a^{6}=(4p-15a^3)(4p+15a^3)\)
- \(y^2-4y+4=(y-2)^2\)
- \(100s^{8}-180s^4+81=(10s^4-9)^2\)
- \(q^2-18q+81=(q-9)^2\)
- \(225a^2+30a+1=(15a+1)^2\)
- \(169y^2-144x^{10}=(13y-12x^5)(13y+12x^5)\)
- \(x^2-10x+25=(x-5)^2\)
- \(36p^{10}-132p^5+121=(6p^5-11)^2\)