Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121s^{8}+22s^4+1\)
2. \(121a^{6}+198a^3y+81y^2\)
3. \(169s^{6}-1\)
4. \(256a^{12}-81\)
5. \(169p^{10}-196x^2\)
6. \(-144x^2+1\)
7. \(s^2-49\)
8. \(s^2-30s+225\)
9. \(p^2-196\)
10. \(196y^2-121\)
11. \(49q^{4}+14q^2s+1s^2\)
12. \(196a^{4}+364a^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121s^{8}+22s^4+1=(11s^4+1)^2\)
2. \(121a^{6}+198a^3y+81y^2=(11a^3+9y)^2\)
3. \(169s^{6}-1=(13s^3+1)(13s^3-1)\)
4. \(256a^{12}-81=(16a^6+9)(16a^6-9)\)
5. \(169p^{10}-196x^2=(13p^5+14x)(13p^5-14x)\)
6. \(-144x^2+1=(1-12x)(1+12x)\)
7. \(s^2-49=(s+7)(s-7)\)
8. \(s^2-30s+225=(s-15)^2\)
9. \(p^2-196=(p+14)(p-14)\)
10. \(196y^2-121=(14y+11)(14y-11)\)
11. \(49q^{4}+14q^2s+1s^2=(7q^2+s)^2\)
12. \(196a^{4}+364a^2+169=(14a^2+13)^2\)