Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-144q^{6}\)
2. \(b^2+26b+169\)
3. \(x^2-12x+36\)
4. \(16a^{4}+104a^2p+169p^2\)
5. \(-4s^2+25\)
6. \(196s^2-9\)
7. \(121s^{4}-220s^2+100\)
8. \(-16x^2+169\)
9. \(256q^{10}-288q^5y+81y^2\)
10. \(196b^{4}+28b^2q+1q^2\)
11. \(p^2-64\)
12. \(144q^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-144q^{6}=(5-12q^3)(5+12q^3)\)
2. \(b^2+26b+169=(b+13)^2\)
3. \(x^2-12x+36=(x-6)^2\)
4. \(16a^{4}+104a^2p+169p^2=(4a^2+13p)^2\)
5. \(-4s^2+25=(5-2s)(5+2s)\)
6. \(196s^2-9=(14s+3)(14s-3)\)
7. \(121s^{4}-220s^2+100=(11s^2-10)^2\)
8. \(-16x^2+169=(13-4x)(13+4x)\)
9. \(256q^{10}-288q^5y+81y^2=(16q^5-9y)^2\)
10. \(196b^{4}+28b^2q+1q^2=(14b^2+q)^2\)
11. \(p^2-64=(p-8)(p+8)\)
12. \(144q^2-169=(12q+13)(12q-13)\)