Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4b^2+4b+1\)
2. \(225y^{16}-1\)
3. \(4a^2+36a+81\)
4. \(b^2+4b+4\)
5. \(196q^2-25\)
6. \(256p^2-121\)
7. \(q^2-20q+100\)
8. \(81q^{12}-64\)
9. \(81b^{8}+234b^4y+169y^2\)
10. \(b^2-100\)
11. \(9a^{14}-64\)
12. \(49-100s^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4b^2+4b+1=(2b+1)^2\)
2. \(225y^{16}-1=(15y^8+1)(15y^8-1)\)
3. \(4a^2+36a+81=(2a+9)^2\)
4. \(b^2+4b+4=(b+2)^2\)
5. \(196q^2-25=(14q+5)(14q-5)\)
6. \(256p^2-121=(16p+11)(16p-11)\)
7. \(q^2-20q+100=(q-10)^2\)
8. \(81q^{12}-64=(9q^6+8)(9q^6-8)\)
9. \(81b^{8}+234b^4y+169y^2=(9b^4+13y)^2\)
10. \(b^2-100=(b+10)(b-10)\)
11. \(9a^{14}-64=(3a^7+8)(3a^7-8)\)
12. \(49-100s^{6}=(7-10s^3)(7+10s^3)\)