Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^{4}-121p^2\)
2. \(64x^2-169a^{14}\)
3. \(4y^2-49\)
4. \(b^2-2b+1\)
5. \(196b^{8}+364b^4+169\)
6. \(169y^2-81\)
7. \(256s^{6}-288s^3x+81x^2\)
8. \(36p^2-60p+25\)
9. \(121a^2+198a+81\)
10. \(144x^2-168x+49\)
11. \(s^2-8s+16\)
12. \(y^2+10y+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^{4}-121p^2=(8a^2+11p)(8a^2-11p)\)
2. \(64x^2-169a^{14}=(8x-13a^7)(8x+13a^7)\)
3. \(4y^2-49=(2y+7)(2y-7)\)
4. \(b^2-2b+1=(b-1)^2\)
5. \(196b^{8}+364b^4+169=(14b^4+13)^2\)
6. \(169y^2-81=(13y+9)(13y-9)\)
7. \(256s^{6}-288s^3x+81x^2=(16s^3-9x)^2\)
8. \(36p^2-60p+25=(6p-5)^2\)
9. \(121a^2+198a+81=(11a+9)^2\)
10. \(144x^2-168x+49=(12x-7)^2\)
11. \(s^2-8s+16=(s-4)^2\)
12. \(y^2+10y+25=(y+5)^2\)