Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-225\)
2. \(196q^{6}-81\)
3. \(s^2-169\)
4. \(p^2-1\)
5. \(a^2-12a+36\)
6. \(36y^{6}-1\)
7. \(225y^2-60y+4\)
8. \(36p^2-25a^{12}\)
9. \(49q^2+140q+100\)
10. \(q^2-28q+196\)
11. \(121b^{4}-110b^2s+25s^2\)
12. \(121s^2-154s+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-225=(a-15)(a+15)\)
2. \(196q^{6}-81=(14q^3+9)(14q^3-9)\)
3. \(s^2-169=(s-13)(s+13)\)
4. \(p^2-1=(p-1)(p+1)\)
5. \(a^2-12a+36=(a-6)^2\)
6. \(36y^{6}-1=(6y^3+1)(6y^3-1)\)
7. \(225y^2-60y+4=(15y-2)^2\)
8. \(36p^2-25a^{12}=(6p-5a^6)(6p+5a^6)\)
9. \(49q^2+140q+100=(7q+10)^2\)
10. \(q^2-28q+196=(q-14)^2\)
11. \(121b^{4}-110b^2s+25s^2=(11b^2-5s)^2\)
12. \(121s^2-154s+49=(11s-7)^2\)