Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144a^{4}-25\)
2. \(100a^{8}-9y^2\)
3. \(169b^{6}+26b^3x+1x^2\)
4. \(144s^{4}-264s^2x+121x^2\)
5. \(225q^{8}-210q^4+49\)
6. \(144b^{4}+120b^2y+25y^2\)
7. \(-225p^2+49\)
8. \(196a^{6}-364a^3y+169y^2\)
9. \(121x^2-36a^{8}\)
10. \(36x^2-169\)
11. \(a^2-225\)
12. \(-25s^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144a^{4}-25=(12a^2+5)(12a^2-5)\)
2. \(100a^{8}-9y^2=(10a^4+3y)(10a^4-3y)\)
3. \(169b^{6}+26b^3x+1x^2=(13b^3+x)^2\)
4. \(144s^{4}-264s^2x+121x^2=(12s^2-11x)^2\)
5. \(225q^{8}-210q^4+49=(15q^4-7)^2\)
6. \(144b^{4}+120b^2y+25y^2=(12b^2+5y)^2\)
7. \(-225p^2+49=(7-15p)(7+15p)\)
8. \(196a^{6}-364a^3y+169y^2=(14a^3-13y)^2\)
9. \(121x^2-36a^{8}=(11x-6a^4)(11x+6a^4)\)
10. \(36x^2-169=(6x+13)(6x-13)\)
11. \(a^2-225=(a+15)(a-15)\)
12. \(-25s^2+121=(11-5s)(11+5s)\)