Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^2-140b+196\)
2. \(49a^2+14a+1\)
3. \(16b^2+120b+225\)
4. \(a^2-4\)
5. \(196s^{6}-121\)
6. \(9q^2-64b^{12}\)
7. \(100b^2+180b+81\)
8. \(16a^2-225\)
9. \(196a^2+28a+1\)
10. \(169q^2+182q+49\)
11. \(121-25p^{14}\)
12. \(a^2+28a+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^2-140b+196=(5b-14)^2\)
2. \(49a^2+14a+1=(7a+1)^2\)
3. \(16b^2+120b+225=(4b+15)^2\)
4. \(a^2-4=(a+2)(a-2)\)
5. \(196s^{6}-121=(14s^3+11)(14s^3-11)\)
6. \(9q^2-64b^{12}=(3q-8b^6)(3q+8b^6)\)
7. \(100b^2+180b+81=(10b+9)^2\)
8. \(16a^2-225=(4a+15)(4a-15)\)
9. \(196a^2+28a+1=(14a+1)^2\)
10. \(169q^2+182q+49=(13q+7)^2\)
11. \(121-25p^{14}=(11-5p^7)(11+5p^7)\)
12. \(a^2+28a+196=(a+14)^2\)