Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-81\)
2. \(121x^2-36q^{12}\)
3. \(196y^{10}+364y^5+169\)
4. \(b^2+10b+25\)
5. \(100p^2-49\)
6. \(9a^{4}-30a^2s+25s^2\)
7. \(-36y^2+121\)
8. \(25a^{4}-40a^2+16\)
9. \(225y^{4}-330y^2+121\)
10. \(q^2-4\)
11. \(36x^2-25b^{14}\)
12. \(121s^{6}-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-81=(q-9)(q+9)\)
2. \(121x^2-36q^{12}=(11x-6q^6)(11x+6q^6)\)
3. \(196y^{10}+364y^5+169=(14y^5+13)^2\)
4. \(b^2+10b+25=(b+5)^2\)
5. \(100p^2-49=(10p+7)(10p-7)\)
6. \(9a^{4}-30a^2s+25s^2=(3a^2-5s)^2\)
7. \(-36y^2+121=(11-6y)(11+6y)\)
8. \(25a^{4}-40a^2+16=(5a^2-4)^2\)
9. \(225y^{4}-330y^2+121=(15y^2-11)^2\)
10. \(q^2-4=(q-2)(q+2)\)
11. \(36x^2-25b^{14}=(6x-5b^7)(6x+5b^7)\)
12. \(121s^{6}-144=(11s^3+12)(11s^3-12)\)