Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^2-36a^{4}\)
2. \(121x^{8}-44x^4+4\)
3. \(p^2-1\)
4. \(196p^2+84p+9\)
5. \(9q^{16}-64y^2\)
6. \(81b^2-121a^{12}\)
7. \(36s^{10}+156s^5+169\)
8. \(x^2-121\)
9. \(169-64q^{12}\)
10. \(-16a^2+121\)
11. \(-169y^2+36\)
12. \(-81b^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^2-36a^{4}=(5b-6a^2)(5b+6a^2)\)
2. \(121x^{8}-44x^4+4=(11x^4-2)^2\)
3. \(p^2-1=(p-1)(p+1)\)
4. \(196p^2+84p+9=(14p+3)^2\)
5. \(9q^{16}-64y^2=(3q^8+8y)(3q^8-8y)\)
6. \(81b^2-121a^{12}=(9b-11a^6)(9b+11a^6)\)
7. \(36s^{10}+156s^5+169=(6s^5+13)^2\)
8. \(x^2-121=(x-11)(x+11)\)
9. \(169-64q^{12}=(13-8q^6)(13+8q^6)\)
10. \(-16a^2+121=(11-4a)(11+4a)\)
11. \(-169y^2+36=(6-13y)(6+13y)\)
12. \(-81b^2+169=(13-9b)(13+9b)\)