Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36y^{6}+60y^3+25\)
2. \(256s^2+288s+81\)
3. \(256q^{8}-121\)
4. \(81q^{4}-144q^2+64\)
5. \(p^2+2p+1\)
6. \(25b^{14}-36s^2\)
7. \(256a^{10}-288a^5q+81q^2\)
8. \(b^2+26b+169\)
9. \(25y^2+140y+196\)
10. \(p^2-225\)
11. \(36b^{4}-60b^2+25\)
12. \(64a^{8}-112a^4x+49x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36y^{6}+60y^3+25=(6y^3+5)^2\)
2. \(256s^2+288s+81=(16s+9)^2\)
3. \(256q^{8}-121=(16q^4+11)(16q^4-11)\)
4. \(81q^{4}-144q^2+64=(9q^2-8)^2\)
5. \(p^2+2p+1=(p+1)^2\)
6. \(25b^{14}-36s^2=(5b^7+6s)(5b^7-6s)\)
7. \(256a^{10}-288a^5q+81q^2=(16a^5-9q)^2\)
8. \(b^2+26b+169=(b+13)^2\)
9. \(25y^2+140y+196=(5y+14)^2\)
10. \(p^2-225=(p+15)(p-15)\)
11. \(36b^{4}-60b^2+25=(6b^2-5)^2\)
12. \(64a^{8}-112a^4x+49x^2=(8a^4-7x)^2\)