Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196a^{10}+308a^5s+121s^2\)
2. \(196q^{6}+28q^3+1\)
3. \(225q^{8}-210q^4+49\)
4. \(225s^2-64\)
5. \(a^2+26a+169\)
6. \(q^{8}-49x^2\)
7. \(s^2+16s+64\)
8. \(16a^2+104a+169\)
9. \(y^2-169\)
10. \(100x^2-60x+9\)
11. \(256y^{8}+352y^4+121\)
12. \(49s^{4}-42s^2y+9y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196a^{10}+308a^5s+121s^2=(14a^5+11s)^2\)
2. \(196q^{6}+28q^3+1=(14q^3+1)^2\)
3. \(225q^{8}-210q^4+49=(15q^4-7)^2\)
4. \(225s^2-64=(15s+8)(15s-8)\)
5. \(a^2+26a+169=(a+13)^2\)
6. \(q^{8}-49x^2=(q^4+7x)(q^4-7x)\)
7. \(s^2+16s+64=(s+8)^2\)
8. \(16a^2+104a+169=(4a+13)^2\)
9. \(y^2-169=(y-13)(y+13)\)
10. \(100x^2-60x+9=(10x-3)^2\)
11. \(256y^{8}+352y^4+121=(16y^4+11)^2\)
12. \(49s^{4}-42s^2y+9y^2=(7s^2-3y)^2\)