Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144x^{6}-168x^3+49\)
2. \(s^2+8s+16\)
3. \(-169s^2+100\)
4. \(49q^2-42q+9\)
5. \(81s^2-49b^{14}\)
6. \(100a^{6}+20a^3+1\)
7. \(9b^2-49\)
8. \(81x^2-36x+4\)
9. \(9q^{8}-48q^4+64\)
10. \(x^2-4x+4\)
11. \(225-16s^{10}\)
12. \(p^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144x^{6}-168x^3+49=(12x^3-7)^2\)
2. \(s^2+8s+16=(s+4)^2\)
3. \(-169s^2+100=(10-13s)(10+13s)\)
4. \(49q^2-42q+9=(7q-3)^2\)
5. \(81s^2-49b^{14}=(9s-7b^7)(9s+7b^7)\)
6. \(100a^{6}+20a^3+1=(10a^3+1)^2\)
7. \(9b^2-49=(3b+7)(3b-7)\)
8. \(81x^2-36x+4=(9x-2)^2\)
9. \(9q^{8}-48q^4+64=(3q^4-8)^2\)
10. \(x^2-4x+4=(x-2)^2\)
11. \(225-16s^{10}=(15-4s^5)(15+4s^5)\)
12. \(p^2-121=(p-11)(p+11)\)