Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100s^2-180s+81\)
2. \(256p^{8}+480p^4y+225y^2\)
3. \(1-64s^{14}\)
4. \(9q^2-48q+64\)
5. \(100b^{6}-60b^3s+9s^2\)
6. \(121p^{4}-220p^2+100\)
7. \(100s^{8}-60s^4+9\)
8. \(s^2-16\)
9. \(s^2+6s+9\)
10. \(4x^2-49b^{8}\)
11. \(64a^2-25\)
12. \(p^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100s^2-180s+81=(10s-9)^2\)
2. \(256p^{8}+480p^4y+225y^2=(16p^4+15y)^2\)
3. \(1-64s^{14}=(1-8s^7)(1+8s^7)\)
4. \(9q^2-48q+64=(3q-8)^2\)
5. \(100b^{6}-60b^3s+9s^2=(10b^3-3s)^2\)
6. \(121p^{4}-220p^2+100=(11p^2-10)^2\)
7. \(100s^{8}-60s^4+9=(10s^4-3)^2\)
8. \(s^2-16=(s+4)(s-4)\)
9. \(s^2+6s+9=(s+3)^2\)
10. \(4x^2-49b^{8}=(2x-7b^4)(2x+7b^4)\)
11. \(64a^2-25=(8a+5)(8a-5)\)
12. \(p^2-121=(p-11)(p+11)\)