Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100b^{8}-49\)
2. \(b^2-169\)
3. \(a^2+10a+25\)
4. \(p^2-28p+196\)
5. \(36y^{10}+132y^5+121\)
6. \(49p^{10}-140p^5s+100s^2\)
7. \(a^2-64\)
8. \(16-25s^{16}\)
9. \(256s^2-81\)
10. \(p^2-2p+1\)
11. \(-169p^2+225\)
12. \(s^2+24s+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100b^{8}-49=(10b^4+7)(10b^4-7)\)
2. \(b^2-169=(b-13)(b+13)\)
3. \(a^2+10a+25=(a+5)^2\)
4. \(p^2-28p+196=(p-14)^2\)
5. \(36y^{10}+132y^5+121=(6y^5+11)^2\)
6. \(49p^{10}-140p^5s+100s^2=(7p^5-10s)^2\)
7. \(a^2-64=(a-8)(a+8)\)
8. \(16-25s^{16}=(4-5s^8)(4+5s^8)\)
9. \(256s^2-81=(16s+9)(16s-9)\)
10. \(p^2-2p+1=(p-1)^2\)
11. \(-169p^2+225=(15-13p)(15+13p)\)
12. \(s^2+24s+144=(s+12)^2\)