Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(s^2-14s+49\)
- \(b^2+18b+81\)
- \(25s^{8}+10s^4+1\)
- \(121p^{10}-9\)
- \(b^2-24b+144\)
- \(100q^{4}+60q^2+9\)
- \(81a^{4}-144a^2s+64s^2\)
- \(4a^{10}+20a^5+25\)
- \(b^2-169\)
- \(x^2+24x+144\)
- \(b^{6}-49p^2\)
- \(9y^{6}-66y^3+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(s^2-14s+49=(s-7)^2\)
- \(b^2+18b+81=(b+9)^2\)
- \(25s^{8}+10s^4+1=(5s^4+1)^2\)
- \(121p^{10}-9=(11p^5+3)(11p^5-3)\)
- \(b^2-24b+144=(b-12)^2\)
- \(100q^{4}+60q^2+9=(10q^2+3)^2\)
- \(81a^{4}-144a^2s+64s^2=(9a^2-8s)^2\)
- \(4a^{10}+20a^5+25=(2a^5+5)^2\)
- \(b^2-169=(b+13)(b-13)\)
- \(x^2+24x+144=(x+12)^2\)
- \(b^{6}-49p^2=(b^3+7p)(b^3-7p)\)
- \(9y^{6}-66y^3+121=(3y^3-11)^2\)