Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+20a+100\)
2. \(b^2-16\)
3. \(16s^{6}+8s^3+1\)
4. \(4-9p^{16}\)
5. \(64b^{6}+240b^3+225\)
6. \(s^2-28s+196\)
7. \(s^2-9\)
8. \(b^2-64\)
9. \(36p^{8}+84p^4+49\)
10. \(100b^{8}+260b^4+169\)
11. \(y^2-196\)
12. \(b^2-10b+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+20a+100=(a+10)^2\)
2. \(b^2-16=(b-4)(b+4)\)
3. \(16s^{6}+8s^3+1=(4s^3+1)^2\)
4. \(4-9p^{16}=(2-3p^8)(2+3p^8)\)
5. \(64b^{6}+240b^3+225=(8b^3+15)^2\)
6. \(s^2-28s+196=(s-14)^2\)
7. \(s^2-9=(s-3)(s+3)\)
8. \(b^2-64=(b+8)(b-8)\)
9. \(36p^{8}+84p^4+49=(6p^4+7)^2\)
10. \(100b^{8}+260b^4+169=(10b^4+13)^2\)
11. \(y^2-196=(y-14)(y+14)\)
12. \(b^2-10b+25=(b-5)^2\)