Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4p^{8}-121\)
2. \(144s^{8}+24s^4+1\)
3. \(25s^{4}-40s^2+16\)
4. \(-225y^2+169\)
5. \(q^2-16\)
6. \(169x^{10}-156x^5+36\)
7. \(49a^{8}+14a^4+1\)
8. \(b^2-26b+169\)
9. \(121-225a^{6}\)
10. \(b^{8}-256s^2\)
11. \(225b^{6}-60b^3+4\)
12. \(s^2+4s+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4p^{8}-121=(2p^4+11)(2p^4-11)\)
2. \(144s^{8}+24s^4+1=(12s^4+1)^2\)
3. \(25s^{4}-40s^2+16=(5s^2-4)^2\)
4. \(-225y^2+169=(13-15y)(13+15y)\)
5. \(q^2-16=(q-4)(q+4)\)
6. \(169x^{10}-156x^5+36=(13x^5-6)^2\)
7. \(49a^{8}+14a^4+1=(7a^4+1)^2\)
8. \(b^2-26b+169=(b-13)^2\)
9. \(121-225a^{6}=(11-15a^3)(11+15a^3)\)
10. \(b^{8}-256s^2=(b^4+16s)(b^4-16s)\)
11. \(225b^{6}-60b^3+4=(15b^3-2)^2\)
12. \(s^2+4s+4=(s+2)^2\)