Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25y^2-36s^{12}\)
2. \(9a^{8}-84a^4+196\)
3. \(p^2-22p+121\)
4. \(121b^{10}+330b^5+225\)
5. \(144s^{8}+24s^4+1\)
6. \(q^2-36\)
7. \(121p^{6}-44p^3y+4y^2\)
8. \(196q^2-364q+169\)
9. \(-81x^2+169\)
10. \(4s^{8}+28s^4+49\)
11. \(225a^2+390a+169\)
12. \(-169x^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25y^2-36s^{12}=(5y-6s^6)(5y+6s^6)\)
2. \(9a^{8}-84a^4+196=(3a^4-14)^2\)
3. \(p^2-22p+121=(p-11)^2\)
4. \(121b^{10}+330b^5+225=(11b^5+15)^2\)
5. \(144s^{8}+24s^4+1=(12s^4+1)^2\)
6. \(q^2-36=(q-6)(q+6)\)
7. \(121p^{6}-44p^3y+4y^2=(11p^3-2y)^2\)
8. \(196q^2-364q+169=(14q-13)^2\)
9. \(-81x^2+169=(13-9x)(13+9x)\)
10. \(4s^{8}+28s^4+49=(2s^4+7)^2\)
11. \(225a^2+390a+169=(15a+13)^2\)
12. \(-169x^2+49=(7-13x)(7+13x)\)