Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169s^{10}-390s^5x+225x^2\)
2. \(169-144q^{8}\)
3. \(256p^2-121\)
4. \(q^2-100\)
5. \(121a^{4}+176a^2+64\)
6. \(36p^{4}+12p^2s+1s^2\)
7. \(169q^2-312q+144\)
8. \(144a^{6}-264a^3p+121p^2\)
9. \(16b^{14}-169q^2\)
10. \(64s^{4}+208s^2+169\)
11. \(9-256y^{6}\)
12. \(196s^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169s^{10}-390s^5x+225x^2=(13s^5-15x)^2\)
2. \(169-144q^{8}=(13-12q^4)(13+12q^4)\)
3. \(256p^2-121=(16p+11)(16p-11)\)
4. \(q^2-100=(q-10)(q+10)\)
5. \(121a^{4}+176a^2+64=(11a^2+8)^2\)
6. \(36p^{4}+12p^2s+1s^2=(6p^2+s)^2\)
7. \(169q^2-312q+144=(13q-12)^2\)
8. \(144a^{6}-264a^3p+121p^2=(12a^3-11p)^2\)
9. \(16b^{14}-169q^2=(4b^7+13q)(4b^7-13q)\)
10. \(64s^{4}+208s^2+169=(8s^2+13)^2\)
11. \(9-256y^{6}=(3-16y^3)(3+16y^3)\)
12. \(196s^2-81=(14s+9)(14s-9)\)