Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81s^2-196\)
2. \(225s^{4}-210s^2y+49y^2\)
3. \(p^2-8p+16\)
4. \(121s^{8}-176s^4+64\)
5. \(b^2-14b+49\)
6. \(169y^{8}+208y^4+64\)
7. \(49q^2-100b^{10}\)
8. \(4p^2+4p+1\)
9. \(256s^2+96s+9\)
10. \(36b^2-60b+25\)
11. \(196p^{6}-169\)
12. \(196a^{4}-364a^2y+169y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81s^2-196=(9s+14)(9s-14)\)
2. \(225s^{4}-210s^2y+49y^2=(15s^2-7y)^2\)
3. \(p^2-8p+16=(p-4)^2\)
4. \(121s^{8}-176s^4+64=(11s^4-8)^2\)
5. \(b^2-14b+49=(b-7)^2\)
6. \(169y^{8}+208y^4+64=(13y^4+8)^2\)
7. \(49q^2-100b^{10}=(7q-10b^5)(7q+10b^5)\)
8. \(4p^2+4p+1=(2p+1)^2\)
9. \(256s^2+96s+9=(16s+3)^2\)
10. \(36b^2-60b+25=(6b-5)^2\)
11. \(196p^{6}-169=(14p^3+13)(14p^3-13)\)
12. \(196a^{4}-364a^2y+169y^2=(14a^2-13y)^2\)