Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25s^2-20s+4\)
2. \(y^2-10y+25\)
3. \(-121x^2+81\)
4. \(p^2-121\)
5. \(25q^2+120q+144\)
6. \(144p^{10}-168p^5+49\)
7. \(9s^2-4p^{12}\)
8. \(a^{4}-49s^2\)
9. \(169p^{4}+52p^2x+4x^2\)
10. \(256p^2-288p+81\)
11. \(-225x^2+16\)
12. \(36a^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25s^2-20s+4=(5s-2)^2\)
2. \(y^2-10y+25=(y-5)^2\)
3. \(-121x^2+81=(9-11x)(9+11x)\)
4. \(p^2-121=(p+11)(p-11)\)
5. \(25q^2+120q+144=(5q+12)^2\)
6. \(144p^{10}-168p^5+49=(12p^5-7)^2\)
7. \(9s^2-4p^{12}=(3s-2p^6)(3s+2p^6)\)
8. \(a^{4}-49s^2=(a^2+7s)(a^2-7s)\)
9. \(169p^{4}+52p^2x+4x^2=(13p^2+2x)^2\)
10. \(256p^2-288p+81=(16p-9)^2\)
11. \(-225x^2+16=(4-15x)(4+15x)\)
12. \(36a^2-25=(6a+5)(6a-5)\)