Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^{16}-64y^2\)
2. \(s^2-14s+49\)
3. \(36q^{8}-60q^4x+25x^2\)
4. \(144a^{6}-168a^3+49\)
5. \(25b^{4}-70b^2+49\)
6. \(y^2-169\)
7. \(36p^2-169\)
8. \(81y^2-72y+16\)
9. \(9-4b^{6}\)
10. \(144a^{12}-25y^2\)
11. \(y^2+6y+9\)
12. \(121b^2+198b+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^{16}-64y^2=(13q^8+8y)(13q^8-8y)\)
2. \(s^2-14s+49=(s-7)^2\)
3. \(36q^{8}-60q^4x+25x^2=(6q^4-5x)^2\)
4. \(144a^{6}-168a^3+49=(12a^3-7)^2\)
5. \(25b^{4}-70b^2+49=(5b^2-7)^2\)
6. \(y^2-169=(y-13)(y+13)\)
7. \(36p^2-169=(6p+13)(6p-13)\)
8. \(81y^2-72y+16=(9y-4)^2\)
9. \(9-4b^{6}=(3-2b^3)(3+2b^3)\)
10. \(144a^{12}-25y^2=(12a^6+5y)(12a^6-5y)\)
11. \(y^2+6y+9=(y+3)^2\)
12. \(121b^2+198b+81=(11b+9)^2\)