Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^2+240a+225\)
2. \(b^2-9\)
3. \(y^2-16y+64\)
4. \(100b^{16}-169\)
5. \(144b^{8}-25p^2\)
6. \(100b^2-81\)
7. \(16b^2-121\)
8. \(b^2-20b+100\)
9. \(16a^{10}-1\)
10. \(p^2+28p+196\)
11. \(144b^{10}+24b^5+1\)
12. \(121-36a^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^2+240a+225=(8a+15)^2\)
2. \(b^2-9=(b+3)(b-3)\)
3. \(y^2-16y+64=(y-8)^2\)
4. \(100b^{16}-169=(10b^8+13)(10b^8-13)\)
5. \(144b^{8}-25p^2=(12b^4+5p)(12b^4-5p)\)
6. \(100b^2-81=(10b+9)(10b-9)\)
7. \(16b^2-121=(4b+11)(4b-11)\)
8. \(b^2-20b+100=(b-10)^2\)
9. \(16a^{10}-1=(4a^5+1)(4a^5-1)\)
10. \(p^2+28p+196=(p+14)^2\)
11. \(144b^{10}+24b^5+1=(12b^5+1)^2\)
12. \(121-36a^{8}=(11-6a^4)(11+6a^4)\)