Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^{8}-44a^4+4\)
2. \(81p^{4}+72p^2+16\)
3. \(q^2-121\)
4. \(100b^{6}-260b^3+169\)
5. \(4a^{4}+12a^2+9\)
6. \(q^2+14q+49\)
7. \(p^2-100\)
8. \(p^2+2p+1\)
9. \(144a^{6}+312a^3+169\)
10. \(49q^2-81\)
11. \(y^2-16\)
12. \(y^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^{8}-44a^4+4=(11a^4-2)^2\)
2. \(81p^{4}+72p^2+16=(9p^2+4)^2\)
3. \(q^2-121=(q-11)(q+11)\)
4. \(100b^{6}-260b^3+169=(10b^3-13)^2\)
5. \(4a^{4}+12a^2+9=(2a^2+3)^2\)
6. \(q^2+14q+49=(q+7)^2\)
7. \(p^2-100=(p+10)(p-10)\)
8. \(p^2+2p+1=(p+1)^2\)
9. \(144a^{6}+312a^3+169=(12a^3+13)^2\)
10. \(49q^2-81=(7q+9)(7q-9)\)
11. \(y^2-16=(y-4)(y+4)\)
12. \(y^2-144=(y+12)(y-12)\)