Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-18y+81\)
2. \(81a^2+180a+100\)
3. \(36a^2+156a+169\)
4. \(-256q^2+121\)
5. \(169-144y^{14}\)
6. \(25b^2+20b+4\)
7. \(b^2-9\)
8. \(-169q^2+196\)
9. \(100a^{12}-49y^2\)
10. \(121b^{10}-16s^2\)
11. \(16q^{6}-88q^3+121\)
12. \(b^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-18y+81=(y-9)^2\)
2. \(81a^2+180a+100=(9a+10)^2\)
3. \(36a^2+156a+169=(6a+13)^2\)
4. \(-256q^2+121=(11-16q)(11+16q)\)
5. \(169-144y^{14}=(13-12y^7)(13+12y^7)\)
6. \(25b^2+20b+4=(5b+2)^2\)
7. \(b^2-9=(b+3)(b-3)\)
8. \(-169q^2+196=(14-13q)(14+13q)\)
9. \(100a^{12}-49y^2=(10a^6+7y)(10a^6-7y)\)
10. \(121b^{10}-16s^2=(11b^5+4s)(11b^5-4s)\)
11. \(16q^{6}-88q^3+121=(4q^3-11)^2\)
12. \(b^2-36=(b-6)(b+6)\)