Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-144a^{6}\)
2. \(196q^{4}-364q^2y+169y^2\)
3. \(y^2-4\)
4. \(36p^{10}-25y^2\)
5. \(q^2+14q+49\)
6. \(y^2-9\)
7. \(q^2-14q+49\)
8. \(9b^{4}+60b^2+100\)
9. \(81s^{6}-234s^3+169\)
10. \(196s^{8}-225\)
11. \(4q^{6}+20q^3s+25s^2\)
12. \(16p^{10}+88p^5+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-144a^{6}=(11x-12a^3)(11x+12a^3)\)
2. \(196q^{4}-364q^2y+169y^2=(14q^2-13y)^2\)
3. \(y^2-4=(y+2)(y-2)\)
4. \(36p^{10}-25y^2=(6p^5+5y)(6p^5-5y)\)
5. \(q^2+14q+49=(q+7)^2\)
6. \(y^2-9=(y+3)(y-3)\)
7. \(q^2-14q+49=(q-7)^2\)
8. \(9b^{4}+60b^2+100=(3b^2+10)^2\)
9. \(81s^{6}-234s^3+169=(9s^3-13)^2\)
10. \(196s^{8}-225=(14s^4+15)(14s^4-15)\)
11. \(4q^{6}+20q^3s+25s^2=(2q^3+5s)^2\)
12. \(16p^{10}+88p^5+121=(4p^5+11)^2\)