Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9a^{16}-121s^2\)
2. \(36p^{10}-60p^5q+25q^2\)
3. \(s^2+22s+121\)
4. \(16b^{4}-1\)
5. \(36q^{16}-169x^2\)
6. \(196q^{14}-81y^2\)
7. \(y^2-20y+100\)
8. \(16q^2+120q+225\)
9. \(25-36y^{6}\)
10. \(169x^2-121p^{8}\)
11. \(100x^{6}+140x^3+49\)
12. \(169b^2-312b+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9a^{16}-121s^2=(3a^8+11s)(3a^8-11s)\)
2. \(36p^{10}-60p^5q+25q^2=(6p^5-5q)^2\)
3. \(s^2+22s+121=(s+11)^2\)
4. \(16b^{4}-1=(4b^2+1)(4b^2-1)\)
5. \(36q^{16}-169x^2=(6q^8+13x)(6q^8-13x)\)
6. \(196q^{14}-81y^2=(14q^7+9y)(14q^7-9y)\)
7. \(y^2-20y+100=(y-10)^2\)
8. \(16q^2+120q+225=(4q+15)^2\)
9. \(25-36y^{6}=(5-6y^3)(5+6y^3)\)
10. \(169x^2-121p^{8}=(13x-11p^4)(13x+11p^4)\)
11. \(100x^{6}+140x^3+49=(10x^3+7)^2\)
12. \(169b^2-312b+144=(13b-12)^2\)