Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^{4}-110a^2q+25q^2\)
2. \(4a^2+4a+1\)
3. \(y^2+6y+9\)
4. \(196q^2+28q+1\)
5. \(-256s^2+169\)
6. \(p^2-4\)
7. \(196a^{4}+84a^2s+9s^2\)
8. \(9p^2-16\)
9. \(a^2+30a+225\)
10. \(49q^{16}-81\)
11. \(81p^{12}-16\)
12. \(p^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^{4}-110a^2q+25q^2=(11a^2-5q)^2\)
2. \(4a^2+4a+1=(2a+1)^2\)
3. \(y^2+6y+9=(y+3)^2\)
4. \(196q^2+28q+1=(14q+1)^2\)
5. \(-256s^2+169=(13-16s)(13+16s)\)
6. \(p^2-4=(p+2)(p-2)\)
7. \(196a^{4}+84a^2s+9s^2=(14a^2+3s)^2\)
8. \(9p^2-16=(3p+4)(3p-4)\)
9. \(a^2+30a+225=(a+15)^2\)
10. \(49q^{16}-81=(7q^8+9)(7q^8-9)\)
11. \(81p^{12}-16=(9p^6+4)(9p^6-4)\)
12. \(p^2-25=(p+5)(p-5)\)