Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196b^2-81\)
2. \(256q^{6}+96q^3s+9s^2\)
3. \(-100p^2+169\)
4. \(49s^{8}-169\)
5. \(144b^{8}-1\)
6. \(81q^2-16\)
7. \(144p^{4}-121q^2\)
8. \(x^2-121\)
9. \(x^2-36\)
10. \(100q^{8}-180q^4+81\)
11. \(100x^2+140x+49\)
12. \(36y^{6}+132y^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196b^2-81=(14b+9)(14b-9)\)
2. \(256q^{6}+96q^3s+9s^2=(16q^3+3s)^2\)
3. \(-100p^2+169=(13-10p)(13+10p)\)
4. \(49s^{8}-169=(7s^4+13)(7s^4-13)\)
5. \(144b^{8}-1=(12b^4+1)(12b^4-1)\)
6. \(81q^2-16=(9q+4)(9q-4)\)
7. \(144p^{4}-121q^2=(12p^2+11q)(12p^2-11q)\)
8. \(x^2-121=(x-11)(x+11)\)
9. \(x^2-36=(x+6)(x-6)\)
10. \(100q^{8}-180q^4+81=(10q^4-9)^2\)
11. \(100x^2+140x+49=(10x+7)^2\)
12. \(36y^{6}+132y^3+121=(6y^3+11)^2\)