Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(1-144p^{16}\)
2. \(196x^{8}+140x^4y+25y^2\)
3. \(100a^{4}-260a^2+169\)
4. \(9q^2-25\)
5. \(16y^2-120y+225\)
6. \(16b^2-81\)
7. \(100-81b^{8}\)
8. \(64-49s^{10}\)
9. \(a^2+28a+196\)
10. \(81s^{6}-234s^3+169\)
11. \(64s^{10}-112s^5x+49x^2\)
12. \(196y^{6}-364y^3+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(1-144p^{16}=(1-12p^8)(1+12p^8)\)
2. \(196x^{8}+140x^4y+25y^2=(14x^4+5y)^2\)
3. \(100a^{4}-260a^2+169=(10a^2-13)^2\)
4. \(9q^2-25=(3q+5)(3q-5)\)
5. \(16y^2-120y+225=(4y-15)^2\)
6. \(16b^2-81=(4b+9)(4b-9)\)
7. \(100-81b^{8}=(10-9b^4)(10+9b^4)\)
8. \(64-49s^{10}=(8-7s^5)(8+7s^5)\)
9. \(a^2+28a+196=(a+14)^2\)
10. \(81s^{6}-234s^3+169=(9s^3-13)^2\)
11. \(64s^{10}-112s^5x+49x^2=(8s^5-7x)^2\)
12. \(196y^{6}-364y^3+169=(14y^3-13)^2\)