Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-24p+144\)
2. \(a^2-144\)
3. \(-121p^2+49\)
4. \(1-9p^{6}\)
5. \(100y^{6}-180y^3+81\)
6. \(a^2-9\)
7. \(49x^2-64\)
8. \(64a^{6}+208a^3p+169p^2\)
9. \(a^2+28a+196\)
10. \(144y^2-25p^{12}\)
11. \(81q^{14}-4x^2\)
12. \(256a^{6}-49s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-24p+144=(p-12)^2\)
2. \(a^2-144=(a-12)(a+12)\)
3. \(-121p^2+49=(7-11p)(7+11p)\)
4. \(1-9p^{6}=(1-3p^3)(1+3p^3)\)
5. \(100y^{6}-180y^3+81=(10y^3-9)^2\)
6. \(a^2-9=(a-3)(a+3)\)
7. \(49x^2-64=(7x+8)(7x-8)\)
8. \(64a^{6}+208a^3p+169p^2=(8a^3+13p)^2\)
9. \(a^2+28a+196=(a+14)^2\)
10. \(144y^2-25p^{12}=(12y-5p^6)(12y+5p^6)\)
11. \(81q^{14}-4x^2=(9q^7+2x)(9q^7-2x)\)
12. \(256a^{6}-49s^2=(16a^3+7s)(16a^3-7s)\)