Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196q^2-364q+169\)
2. \(y^2-16\)
3. \(121p^2+286p+169\)
4. \(a^2+10a+25\)
5. \(225a^{4}-1\)
6. \(100a^2+60a+9\)
7. \(-64q^2+169\)
8. \(225p^{10}-210p^5+49\)
9. \(-144q^2+121\)
10. \(9q^2-48q+64\)
11. \(y^2-36\)
12. \(s^2+4s+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196q^2-364q+169=(14q-13)^2\)
2. \(y^2-16=(y+4)(y-4)\)
3. \(121p^2+286p+169=(11p+13)^2\)
4. \(a^2+10a+25=(a+5)^2\)
5. \(225a^{4}-1=(15a^2+1)(15a^2-1)\)
6. \(100a^2+60a+9=(10a+3)^2\)
7. \(-64q^2+169=(13-8q)(13+8q)\)
8. \(225p^{10}-210p^5+49=(15p^5-7)^2\)
9. \(-144q^2+121=(11-12q)(11+12q)\)
10. \(9q^2-48q+64=(3q-8)^2\)
11. \(y^2-36=(y+6)(y-6)\)
12. \(s^2+4s+4=(s+2)^2\)