Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-8x+16\)
2. \(121y^{10}+220y^5+100\)
3. \(169p^{6}-196\)
4. \(144p^2-169\)
5. \(q^2-100\)
6. \(y^2-1\)
7. \(9s^2-100b^{4}\)
8. \(25q^{6}-40q^3+16\)
9. \(b^2-20b+100\)
10. \(169q^2-104q+16\)
11. \(169p^{8}-156p^4x+36x^2\)
12. \(-144q^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-8x+16=(x-4)^2\)
2. \(121y^{10}+220y^5+100=(11y^5+10)^2\)
3. \(169p^{6}-196=(13p^3+14)(13p^3-14)\)
4. \(144p^2-169=(12p+13)(12p-13)\)
5. \(q^2-100=(q-10)(q+10)\)
6. \(y^2-1=(y+1)(y-1)\)
7. \(9s^2-100b^{4}=(3s-10b^2)(3s+10b^2)\)
8. \(25q^{6}-40q^3+16=(5q^3-4)^2\)
9. \(b^2-20b+100=(b-10)^2\)
10. \(169q^2-104q+16=(13q-4)^2\)
11. \(169p^{8}-156p^4x+36x^2=(13p^4-6x)^2\)
12. \(-144q^2+121=(11-12q)(11+12q)\)