Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25y^2-4b^{14}\)
2. \(121q^{10}+44q^5+4\)
3. \(169y^2-156y+36\)
4. \(x^2-225\)
5. \(-49q^2+4\)
6. \(-144y^2+1\)
7. \(196s^{4}-364s^2+169\)
8. \(x^2-49\)
9. \(b^2+18b+81\)
10. \(36x^2-25q^{6}\)
11. \(81q^2-36q+4\)
12. \(9s^{4}+42s^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25y^2-4b^{14}=(5y-2b^7)(5y+2b^7)\)
2. \(121q^{10}+44q^5+4=(11q^5+2)^2\)
3. \(169y^2-156y+36=(13y-6)^2\)
4. \(x^2-225=(x+15)(x-15)\)
5. \(-49q^2+4=(2-7q)(2+7q)\)
6. \(-144y^2+1=(1-12y)(1+12y)\)
7. \(196s^{4}-364s^2+169=(14s^2-13)^2\)
8. \(x^2-49=(x+7)(x-7)\)
9. \(b^2+18b+81=(b+9)^2\)
10. \(36x^2-25q^{6}=(6x-5q^3)(6x+5q^3)\)
11. \(81q^2-36q+4=(9q-2)^2\)
12. \(9s^{4}+42s^2+49=(3s^2+7)^2\)