Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-100\)
2. \(256s^{6}-480s^3+225\)
3. \(225x^{14}-16\)
4. \(25p^{10}+110p^5x+121x^2\)
5. \(b^2-20b+100\)
6. \(36s^2+60s+25\)
7. \(144s^2-121\)
8. \(36p^2+84p+49\)
9. \(a^2+4a+4\)
10. \(100y^2-121a^{10}\)
11. \(169x^2-144p^{16}\)
12. \(x^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-100=(b+10)(b-10)\)
2. \(256s^{6}-480s^3+225=(16s^3-15)^2\)
3. \(225x^{14}-16=(15x^7+4)(15x^7-4)\)
4. \(25p^{10}+110p^5x+121x^2=(5p^5+11x)^2\)
5. \(b^2-20b+100=(b-10)^2\)
6. \(36s^2+60s+25=(6s+5)^2\)
7. \(144s^2-121=(12s+11)(12s-11)\)
8. \(36p^2+84p+49=(6p+7)^2\)
9. \(a^2+4a+4=(a+2)^2\)
10. \(100y^2-121a^{10}=(10y-11a^5)(10y+11a^5)\)
11. \(169x^2-144p^{16}=(13x-12p^8)(13x+12p^8)\)
12. \(x^2-144=(x+12)(x-12)\)