Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^{6}+72a^3+16\)
2. \(25s^{8}+110s^4+121\)
3. \(36a^{10}-132a^5q+121q^2\)
4. \(64a^{8}+176a^4x+121x^2\)
5. \(225q^2-60q+4\)
6. \(q^2-169\)
7. \(-16y^2+81\)
8. \(q^2+16q+64\)
9. \(4x^{8}-121\)
10. \(100q^{4}+140q^2+49\)
11. \(36s^{8}+132s^4+121\)
12. \(64p^{8}-112p^4+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^{6}+72a^3+16=(9a^3+4)^2\)
2. \(25s^{8}+110s^4+121=(5s^4+11)^2\)
3. \(36a^{10}-132a^5q+121q^2=(6a^5-11q)^2\)
4. \(64a^{8}+176a^4x+121x^2=(8a^4+11x)^2\)
5. \(225q^2-60q+4=(15q-2)^2\)
6. \(q^2-169=(q+13)(q-13)\)
7. \(-16y^2+81=(9-4y)(9+4y)\)
8. \(q^2+16q+64=(q+8)^2\)
9. \(4x^{8}-121=(2x^4+11)(2x^4-11)\)
10. \(100q^{4}+140q^2+49=(10q^2+7)^2\)
11. \(36s^{8}+132s^4+121=(6s^4+11)^2\)
12. \(64p^{8}-112p^4+49=(8p^4-7)^2\)