Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81s^{10}-144s^5+64\)
2. \(169q^{6}-104q^3x+16x^2\)
3. \(121q^{4}+132q^2y+36y^2\)
4. \(49a^2-225\)
5. \(169p^2+364p+196\)
6. \(a^{12}-49s^2\)
7. \(x^2+12x+36\)
8. \(p^2+18p+81\)
9. \(169q^{10}+130q^5x+25x^2\)
10. \(a^2-9\)
11. \(-16q^2+49\)
12. \(121s^{4}-110s^2+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81s^{10}-144s^5+64=(9s^5-8)^2\)
2. \(169q^{6}-104q^3x+16x^2=(13q^3-4x)^2\)
3. \(121q^{4}+132q^2y+36y^2=(11q^2+6y)^2\)
4. \(49a^2-225=(7a+15)(7a-15)\)
5. \(169p^2+364p+196=(13p+14)^2\)
6. \(a^{12}-49s^2=(a^6+7s)(a^6-7s)\)
7. \(x^2+12x+36=(x+6)^2\)
8. \(p^2+18p+81=(p+9)^2\)
9. \(169q^{10}+130q^5x+25x^2=(13q^5+5x)^2\)
10. \(a^2-9=(a-3)(a+3)\)
11. \(-16q^2+49=(7-4q)(7+4q)\)
12. \(121s^{4}-110s^2+25=(11s^2-5)^2\)