Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36a^{6}-132a^3+121\)
2. \(144s^2+24s+1\)
3. \(121q^{4}+330q^2+225\)
4. \(121q^{8}-4y^2\)
5. \(121x^{10}-44x^5+4\)
6. \(36s^2-25a^{16}\)
7. \(4b^2+12b+9\)
8. \(36b^{8}-121\)
9. \(q^2+28q+196\)
10. \(q^2-49\)
11. \(-9q^2+49\)
12. \(p^2-28p+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36a^{6}-132a^3+121=(6a^3-11)^2\)
2. \(144s^2+24s+1=(12s+1)^2\)
3. \(121q^{4}+330q^2+225=(11q^2+15)^2\)
4. \(121q^{8}-4y^2=(11q^4+2y)(11q^4-2y)\)
5. \(121x^{10}-44x^5+4=(11x^5-2)^2\)
6. \(36s^2-25a^{16}=(6s-5a^8)(6s+5a^8)\)
7. \(4b^2+12b+9=(2b+3)^2\)
8. \(36b^{8}-121=(6b^4+11)(6b^4-11)\)
9. \(q^2+28q+196=(q+14)^2\)
10. \(q^2-49=(q+7)(q-7)\)
11. \(-9q^2+49=(7-3q)(7+3q)\)
12. \(p^2-28p+196=(p-14)^2\)