Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256b^{8}+416b^4x+169x^2\)
2. \(81a^{8}-234a^4b+169b^2\)
3. \(-4x^2+1\)
4. \(s^2+8s+16\)
5. \(25s^2-120s+144\)
6. \(225-121a^{8}\)
7. \(121y^{4}-286y^2+169\)
8. \(25q^2-4\)
9. \(9s^2-196b^{12}\)
10. \(-100p^2+169\)
11. \(b^2-9\)
12. \(256s^{14}-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256b^{8}+416b^4x+169x^2=(16b^4+13x)^2\)
2. \(81a^{8}-234a^4b+169b^2=(9a^4-13b)^2\)
3. \(-4x^2+1=(1-2x)(1+2x)\)
4. \(s^2+8s+16=(s+4)^2\)
5. \(25s^2-120s+144=(5s-12)^2\)
6. \(225-121a^{8}=(15-11a^4)(15+11a^4)\)
7. \(121y^{4}-286y^2+169=(11y^2-13)^2\)
8. \(25q^2-4=(5q+2)(5q-2)\)
9. \(9s^2-196b^{12}=(3s-14b^6)(3s+14b^6)\)
10. \(-100p^2+169=(13-10p)(13+10p)\)
11. \(b^2-9=(b-3)(b+3)\)
12. \(256s^{14}-25=(16s^7+5)(16s^7-5)\)