Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+8q+16\)
2. \(25y^{10}-40y^5+16\)
3. \(225a^{4}+330a^2b+121b^2\)
4. \(81p^{6}-144p^3+64\)
5. \(144p^{8}-264p^4+121\)
6. \(p^2-225\)
7. \(q^2-144\)
8. \(b^2-196\)
9. \(64a^{6}+16a^3b+1b^2\)
10. \(b^2-25\)
11. \(25x^{14}-64y^2\)
12. \(121a^{8}+198a^4+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+8q+16=(q+4)^2\)
2. \(25y^{10}-40y^5+16=(5y^5-4)^2\)
3. \(225a^{4}+330a^2b+121b^2=(15a^2+11b)^2\)
4. \(81p^{6}-144p^3+64=(9p^3-8)^2\)
5. \(144p^{8}-264p^4+121=(12p^4-11)^2\)
6. \(p^2-225=(p+15)(p-15)\)
7. \(q^2-144=(q-12)(q+12)\)
8. \(b^2-196=(b+14)(b-14)\)
9. \(64a^{6}+16a^3b+1b^2=(8a^3+b)^2\)
10. \(b^2-25=(b+5)(b-5)\)
11. \(25x^{14}-64y^2=(5x^7+8y)(5x^7-8y)\)
12. \(121a^{8}+198a^4+81=(11a^4+9)^2\)