Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16s^2-25q^{8}\)
2. \(4p^{4}+52p^2+169\)
3. \(9s^{4}+78s^2+169\)
4. \(196p^{8}-81s^2\)
5. \(169s^{4}-312s^2+144\)
6. \(144a^{8}-1\)
7. \(144b^{6}+120b^3+25\)
8. \(16x^{10}+24x^5+9\)
9. \(256q^2-1\)
10. \(b^2-16b+64\)
11. \(81q^2-16\)
12. \(36s^{10}-132s^5y+121y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16s^2-25q^{8}=(4s-5q^4)(4s+5q^4)\)
2. \(4p^{4}+52p^2+169=(2p^2+13)^2\)
3. \(9s^{4}+78s^2+169=(3s^2+13)^2\)
4. \(196p^{8}-81s^2=(14p^4+9s)(14p^4-9s)\)
5. \(169s^{4}-312s^2+144=(13s^2-12)^2\)
6. \(144a^{8}-1=(12a^4+1)(12a^4-1)\)
7. \(144b^{6}+120b^3+25=(12b^3+5)^2\)
8. \(16x^{10}+24x^5+9=(4x^5+3)^2\)
9. \(256q^2-1=(16q+1)(16q-1)\)
10. \(b^2-16b+64=(b-8)^2\)
11. \(81q^2-16=(9q+4)(9q-4)\)
12. \(36s^{10}-132s^5y+121y^2=(6s^5-11y)^2\)