Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2+6b+9\)
2. \(-64q^2+81\)
3. \(-4b^2+121\)
4. \(100p^2-81\)
5. \(-100q^2+49\)
6. \(p^2-22p+121\)
7. \(256a^{6}+416a^3b+169b^2\)
8. \(36-25b^{4}\)
9. \(100x^2-180x+81\)
10. \(s^2+10s+25\)
11. \(144b^{6}-49\)
12. \(49q^{6}-42q^3+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2+6b+9=(b+3)^2\)
2. \(-64q^2+81=(9-8q)(9+8q)\)
3. \(-4b^2+121=(11-2b)(11+2b)\)
4. \(100p^2-81=(10p+9)(10p-9)\)
5. \(-100q^2+49=(7-10q)(7+10q)\)
6. \(p^2-22p+121=(p-11)^2\)
7. \(256a^{6}+416a^3b+169b^2=(16a^3+13b)^2\)
8. \(36-25b^{4}=(6-5b^2)(6+5b^2)\)
9. \(100x^2-180x+81=(10x-9)^2\)
10. \(s^2+10s+25=(s+5)^2\)
11. \(144b^{6}-49=(12b^3+7)(12b^3-7)\)
12. \(49q^{6}-42q^3+9=(7q^3-3)^2\)