Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144p^{10}+24p^5+1\)
2. \(b^2-196\)
3. \(25s^{14}-16\)
4. \(b^2-81\)
5. \(4s^2+4s+1\)
6. \(256b^{4}-160b^2+25\)
7. \(36s^2-p^{16}\)
8. \(225a^2-121\)
9. \(100b^{10}-9x^2\)
10. \(225p^{4}+240p^2+64\)
11. \(25-49p^{12}\)
12. \(y^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144p^{10}+24p^5+1=(12p^5+1)^2\)
2. \(b^2-196=(b+14)(b-14)\)
3. \(25s^{14}-16=(5s^7+4)(5s^7-4)\)
4. \(b^2-81=(b+9)(b-9)\)
5. \(4s^2+4s+1=(2s+1)^2\)
6. \(256b^{4}-160b^2+25=(16b^2-5)^2\)
7. \(36s^2-p^{16}=(6s-p^8)(6s+p^8)\)
8. \(225a^2-121=(15a+11)(15a-11)\)
9. \(100b^{10}-9x^2=(10b^5+3x)(10b^5-3x)\)
10. \(225p^{4}+240p^2+64=(15p^2+8)^2\)
11. \(25-49p^{12}=(5-7p^6)(5+7p^6)\)
12. \(y^2-144=(y-12)(y+12)\)