Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-4a^2+81\)
2. \(1-9q^{14}\)
3. \(169x^{10}+260x^5y+100y^2\)
4. \(100-121p^{8}\)
5. \(s^2-36\)
6. \(81-25x^{14}\)
7. \(196s^{10}+28s^5+1\)
8. \(169x^2-416x+256\)
9. \(169p^2-121\)
10. \(36a^{12}-25x^2\)
11. \(-4s^2+49\)
12. \(169s^{8}-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-4a^2+81=(9-2a)(9+2a)\)
2. \(1-9q^{14}=(1-3q^7)(1+3q^7)\)
3. \(169x^{10}+260x^5y+100y^2=(13x^5+10y)^2\)
4. \(100-121p^{8}=(10-11p^4)(10+11p^4)\)
5. \(s^2-36=(s-6)(s+6)\)
6. \(81-25x^{14}=(9-5x^7)(9+5x^7)\)
7. \(196s^{10}+28s^5+1=(14s^5+1)^2\)
8. \(169x^2-416x+256=(13x-16)^2\)
9. \(169p^2-121=(13p+11)(13p-11)\)
10. \(36a^{12}-25x^2=(6a^6+5x)(6a^6-5x)\)
11. \(-4s^2+49=(7-2s)(7+2s)\)
12. \(169s^{8}-25=(13s^4+5)(13s^4-5)\)