Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-196y^2+81\)
2. \(p^2+16p+64\)
3. \(196q^{10}-364q^5+169\)
4. \(4p^2-169\)
5. \(q^2-169\)
6. \(256s^2-480s+225\)
7. \(256q^{4}-49\)
8. \(196q^2+28q+1\)
9. \(9p^2+60p+100\)
10. \(49b^{4}+14b^2q+1q^2\)
11. \(225y^{4}-121\)
12. \(q^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-196y^2+81=(9-14y)(9+14y)\)
2. \(p^2+16p+64=(p+8)^2\)
3. \(196q^{10}-364q^5+169=(14q^5-13)^2\)
4. \(4p^2-169=(2p+13)(2p-13)\)
5. \(q^2-169=(q+13)(q-13)\)
6. \(256s^2-480s+225=(16s-15)^2\)
7. \(256q^{4}-49=(16q^2+7)(16q^2-7)\)
8. \(196q^2+28q+1=(14q+1)^2\)
9. \(9p^2+60p+100=(3p+10)^2\)
10. \(49b^{4}+14b^2q+1q^2=(7b^2+q)^2\)
11. \(225y^{4}-121=(15y^2+11)(15y^2-11)\)
12. \(q^2-49=(q-7)(q+7)\)