Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^{6}-81x^2\)
2. \(121p^{10}+132p^5+36\)
3. \(-225p^2+121\)
4. \(81x^2+180x+100\)
5. \(16b^{6}+120b^3q+225q^2\)
6. \(169x^2+182x+49\)
7. \(4a^{10}+44a^5q+121q^2\)
8. \(4b^{4}+28b^2x+49x^2\)
9. \(225a^{12}-49p^2\)
10. \(144a^{8}+24a^4q+1q^2\)
11. \(25p^{12}-36\)
12. \(s^2-196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^{6}-81x^2=(13p^3+9x)(13p^3-9x)\)
2. \(121p^{10}+132p^5+36=(11p^5+6)^2\)
3. \(-225p^2+121=(11-15p)(11+15p)\)
4. \(81x^2+180x+100=(9x+10)^2\)
5. \(16b^{6}+120b^3q+225q^2=(4b^3+15q)^2\)
6. \(169x^2+182x+49=(13x+7)^2\)
7. \(4a^{10}+44a^5q+121q^2=(2a^5+11q)^2\)
8. \(4b^{4}+28b^2x+49x^2=(2b^2+7x)^2\)
9. \(225a^{12}-49p^2=(15a^6+7p)(15a^6-7p)\)
10. \(144a^{8}+24a^4q+1q^2=(12a^4+q)^2\)
11. \(25p^{12}-36=(5p^6+6)(5p^6-6)\)
12. \(s^2-196=(s-14)(s+14)\)