Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-4\)
2. \(121a^{4}-220a^2+100\)
3. \(p^2-64\)
4. \(25y^{10}-90y^5+81\)
5. \(b^2+20b+100\)
6. \(144a^{8}+24a^4b+1b^2\)
7. \(36a^{10}+132a^5+121\)
8. \(169x^{4}-104x^2+16\)
9. \(36a^{4}-121q^2\)
10. \(225a^{6}+390a^3y+169y^2\)
11. \(36s^2+84s+49\)
12. \(s^2+14s+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-4=(y-2)(y+2)\)
2. \(121a^{4}-220a^2+100=(11a^2-10)^2\)
3. \(p^2-64=(p-8)(p+8)\)
4. \(25y^{10}-90y^5+81=(5y^5-9)^2\)
5. \(b^2+20b+100=(b+10)^2\)
6. \(144a^{8}+24a^4b+1b^2=(12a^4+b)^2\)
7. \(36a^{10}+132a^5+121=(6a^5+11)^2\)
8. \(169x^{4}-104x^2+16=(13x^2-4)^2\)
9. \(36a^{4}-121q^2=(6a^2+11q)(6a^2-11q)\)
10. \(225a^{6}+390a^3y+169y^2=(15a^3+13y)^2\)
11. \(36s^2+84s+49=(6s+7)^2\)
12. \(s^2+14s+49=(s+7)^2\)