Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196y^{8}+28y^4+1\)
2. \(y^2+10y+25\)
3. \(169a^{4}+234a^2+81\)
4. \(b^2-30b+225\)
5. \(36x^2-169b^{8}\)
6. \(225a^{6}-210a^3y+49y^2\)
7. \(169x^2-81s^{4}\)
8. \(25x^2-144a^{14}\)
9. \(36y^{10}+60y^5+25\)
10. \(64a^{12}-121\)
11. \(144x^{6}+24x^3y+1y^2\)
12. \(121p^{6}-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196y^{8}+28y^4+1=(14y^4+1)^2\)
2. \(y^2+10y+25=(y+5)^2\)
3. \(169a^{4}+234a^2+81=(13a^2+9)^2\)
4. \(b^2-30b+225=(b-15)^2\)
5. \(36x^2-169b^{8}=(6x-13b^4)(6x+13b^4)\)
6. \(225a^{6}-210a^3y+49y^2=(15a^3-7y)^2\)
7. \(169x^2-81s^{4}=(13x-9s^2)(13x+9s^2)\)
8. \(25x^2-144a^{14}=(5x-12a^7)(5x+12a^7)\)
9. \(36y^{10}+60y^5+25=(6y^5+5)^2\)
10. \(64a^{12}-121=(8a^6+11)(8a^6-11)\)
11. \(144x^{6}+24x^3y+1y^2=(12x^3+y)^2\)
12. \(121p^{6}-81=(11p^3+9)(11p^3-9)\)