Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144x^2-121\)
2. \(196b^2+252b+81\)
3. \(121x^2-16p^{8}\)
4. \(121x^2-36q^{6}\)
5. \(4s^{6}+4s^3y+1y^2\)
6. \(p^2-10p+25\)
7. \(144b^{14}-1\)
8. \(256x^{10}+96x^5+9\)
9. \(100s^{6}+60s^3+9\)
10. \(16s^2+72s+81\)
11. \(121b^{6}-154b^3s+49s^2\)
12. \(4b^2+4b+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144x^2-121=(12x+11)(12x-11)\)
2. \(196b^2+252b+81=(14b+9)^2\)
3. \(121x^2-16p^{8}=(11x-4p^4)(11x+4p^4)\)
4. \(121x^2-36q^{6}=(11x-6q^3)(11x+6q^3)\)
5. \(4s^{6}+4s^3y+1y^2=(2s^3+y)^2\)
6. \(p^2-10p+25=(p-5)^2\)
7. \(144b^{14}-1=(12b^7+1)(12b^7-1)\)
8. \(256x^{10}+96x^5+9=(16x^5+3)^2\)
9. \(100s^{6}+60s^3+9=(10s^3+3)^2\)
10. \(16s^2+72s+81=(4s+9)^2\)
11. \(121b^{6}-154b^3s+49s^2=(11b^3-7s)^2\)
12. \(4b^2+4b+1=(2b+1)^2\)