Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-26y+169\)
2. \(25q^{8}-81s^2\)
3. \(121a^{6}-100\)
4. \(16q^{8}-81\)
5. \(144q^{4}+24q^2s+1s^2\)
6. \(4a^{4}-81y^2\)
7. \(36x^{6}+12x^3+1\)
8. \(196x^{16}-169\)
9. \(100a^{16}-169\)
10. \(100x^{4}-60x^2y+9y^2\)
11. \(4s^{6}-25y^2\)
12. \(81y^2+234y+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-26y+169=(y-13)^2\)
2. \(25q^{8}-81s^2=(5q^4+9s)(5q^4-9s)\)
3. \(121a^{6}-100=(11a^3+10)(11a^3-10)\)
4. \(16q^{8}-81=(4q^4+9)(4q^4-9)\)
5. \(144q^{4}+24q^2s+1s^2=(12q^2+s)^2\)
6. \(4a^{4}-81y^2=(2a^2+9y)(2a^2-9y)\)
7. \(36x^{6}+12x^3+1=(6x^3+1)^2\)
8. \(196x^{16}-169=(14x^8+13)(14x^8-13)\)
9. \(100a^{16}-169=(10a^8+13)(10a^8-13)\)
10. \(100x^{4}-60x^2y+9y^2=(10x^2-3y)^2\)
11. \(4s^{6}-25y^2=(2s^3+5y)(2s^3-5y)\)
12. \(81y^2+234y+169=(9y+13)^2\)