Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49x^{8}+140x^4y+100y^2\)
2. \(225b^{16}-16y^2\)
3. \(y^2-64\)
4. \(25s^2+110s+121\)
5. \(16x^2+8x+1\)
6. \(s^2+20s+100\)
7. \(100y^2-81p^{14}\)
8. \(225a^{10}-420a^5b+196b^2\)
9. \(169b^2+364b+196\)
10. \(49x^2-9a^{6}\)
11. \(-144p^2+169\)
12. \(81s^2-196a^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49x^{8}+140x^4y+100y^2=(7x^4+10y)^2\)
2. \(225b^{16}-16y^2=(15b^8+4y)(15b^8-4y)\)
3. \(y^2-64=(y-8)(y+8)\)
4. \(25s^2+110s+121=(5s+11)^2\)
5. \(16x^2+8x+1=(4x+1)^2\)
6. \(s^2+20s+100=(s+10)^2\)
7. \(100y^2-81p^{14}=(10y-9p^7)(10y+9p^7)\)
8. \(225a^{10}-420a^5b+196b^2=(15a^5-14b)^2\)
9. \(169b^2+364b+196=(13b+14)^2\)
10. \(49x^2-9a^{6}=(7x-3a^3)(7x+3a^3)\)
11. \(-144p^2+169=(13-12p)(13+12p)\)
12. \(81s^2-196a^{16}=(9s-14a^8)(9s+14a^8)\)