Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-196s^{6}\)
2. \(16p^2-121b^{6}\)
3. \(b^2+16b+64\)
4. \(121x^{4}-110x^2y+25y^2\)
5. \(121a^2+286a+169\)
6. \(256p^2+32p+1\)
7. \(169x^{8}+182x^4+49\)
8. \(64p^{8}-112p^4s+49s^2\)
9. \(25x^2-36p^{6}\)
10. \(49x^{8}-224x^4+256\)
11. \(64-225p^{6}\)
12. \(16p^{12}-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-196s^{6}=(3-14s^3)(3+14s^3)\)
2. \(16p^2-121b^{6}=(4p-11b^3)(4p+11b^3)\)
3. \(b^2+16b+64=(b+8)^2\)
4. \(121x^{4}-110x^2y+25y^2=(11x^2-5y)^2\)
5. \(121a^2+286a+169=(11a+13)^2\)
6. \(256p^2+32p+1=(16p+1)^2\)
7. \(169x^{8}+182x^4+49=(13x^4+7)^2\)
8. \(64p^{8}-112p^4s+49s^2=(8p^4-7s)^2\)
9. \(25x^2-36p^{6}=(5x-6p^3)(5x+6p^3)\)
10. \(49x^{8}-224x^4+256=(7x^4-16)^2\)
11. \(64-225p^{6}=(8-15p^3)(8+15p^3)\)
12. \(16p^{12}-81=(4p^6+9)(4p^6-9)\)