Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64b^2-80b+25\)
2. \(1-144q^{4}\)
3. \(49a^2-25\)
4. \(s^2-28s+196\)
5. \(256q^{8}+32q^4x+1x^2\)
6. \(64a^{12}-81\)
7. \(36q^{6}-60q^3x+25x^2\)
8. \(196b^2-364b+169\)
9. \(121q^2-49b^{6}\)
10. \(4b^{6}+4b^3x+1x^2\)
11. \(121x^2+220x+100\)
12. \(4s^2+20s+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64b^2-80b+25=(8b-5)^2\)
2. \(1-144q^{4}=(1-12q^2)(1+12q^2)\)
3. \(49a^2-25=(7a+5)(7a-5)\)
4. \(s^2-28s+196=(s-14)^2\)
5. \(256q^{8}+32q^4x+1x^2=(16q^4+x)^2\)
6. \(64a^{12}-81=(8a^6+9)(8a^6-9)\)
7. \(36q^{6}-60q^3x+25x^2=(6q^3-5x)^2\)
8. \(196b^2-364b+169=(14b-13)^2\)
9. \(121q^2-49b^{6}=(11q-7b^3)(11q+7b^3)\)
10. \(4b^{6}+4b^3x+1x^2=(2b^3+x)^2\)
11. \(121x^2+220x+100=(11x+10)^2\)
12. \(4s^2+20s+25=(2s+5)^2\)