Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49q^2-16\)
2. \(49x^2-64a^{6}\)
3. \(144y^2-168y+49\)
4. \(1-225s^{12}\)
5. \(196-225b^{10}\)
6. \(s^2-6s+9\)
7. \(121p^2-4\)
8. \(49a^{6}-81\)
9. \(4a^{14}-25p^2\)
10. \(81-196b^{10}\)
11. \(225s^{6}+330s^3+121\)
12. \(q^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49q^2-16=(7q+4)(7q-4)\)
2. \(49x^2-64a^{6}=(7x-8a^3)(7x+8a^3)\)
3. \(144y^2-168y+49=(12y-7)^2\)
4. \(1-225s^{12}=(1-15s^6)(1+15s^6)\)
5. \(196-225b^{10}=(14-15b^5)(14+15b^5)\)
6. \(s^2-6s+9=(s-3)^2\)
7. \(121p^2-4=(11p+2)(11p-2)\)
8. \(49a^{6}-81=(7a^3+9)(7a^3-9)\)
9. \(4a^{14}-25p^2=(2a^7+5p)(2a^7-5p)\)
10. \(81-196b^{10}=(9-14b^5)(9+14b^5)\)
11. \(225s^{6}+330s^3+121=(15s^3+11)^2\)
12. \(q^2-81=(q+9)(q-9)\)