Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49-100b^{12}\)
2. \(-169q^2+64\)
3. \(169s^{4}-225\)
4. \(225s^{4}-4y^2\)
5. \(225y^{4}-420y^2+196\)
6. \(121x^2+88x+16\)
7. \(196q^2+84q+9\)
8. \(121s^{6}+22s^3x+1x^2\)
9. \(169-16x^{14}\)
10. \(121-36p^{4}\)
11. \(a^2+4a+4\)
12. \(256y^2-96y+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49-100b^{12}=(7-10b^6)(7+10b^6)\)
2. \(-169q^2+64=(8-13q)(8+13q)\)
3. \(169s^{4}-225=(13s^2+15)(13s^2-15)\)
4. \(225s^{4}-4y^2=(15s^2+2y)(15s^2-2y)\)
5. \(225y^{4}-420y^2+196=(15y^2-14)^2\)
6. \(121x^2+88x+16=(11x+4)^2\)
7. \(196q^2+84q+9=(14q+3)^2\)
8. \(121s^{6}+22s^3x+1x^2=(11s^3+x)^2\)
9. \(169-16x^{14}=(13-4x^7)(13+4x^7)\)
10. \(121-36p^{4}=(11-6p^2)(11+6p^2)\)
11. \(a^2+4a+4=(a+2)^2\)
12. \(256y^2-96y+9=(16y-3)^2\)