Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^{8}-110a^4x+25x^2\)
2. \(81p^{4}+252p^2+196\)
3. \(49-4q^{14}\)
4. \(25b^{6}+30b^3+9\)
5. \(121x^2-44x+4\)
6. \(b^{10}-25s^2\)
7. \(196x^2-9a^{16}\)
8. \(s^2-36\)
9. \(q^2-169\)
10. \(100p^2-9\)
11. \(64s^2+16s+1\)
12. \(49p^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^{8}-110a^4x+25x^2=(11a^4-5x)^2\)
2. \(81p^{4}+252p^2+196=(9p^2+14)^2\)
3. \(49-4q^{14}=(7-2q^7)(7+2q^7)\)
4. \(25b^{6}+30b^3+9=(5b^3+3)^2\)
5. \(121x^2-44x+4=(11x-2)^2\)
6. \(b^{10}-25s^2=(b^5+5s)(b^5-5s)\)
7. \(196x^2-9a^{16}=(14x-3a^8)(14x+3a^8)\)
8. \(s^2-36=(s-6)(s+6)\)
9. \(q^2-169=(q+13)(q-13)\)
10. \(100p^2-9=(10p+3)(10p-3)\)
11. \(64s^2+16s+1=(8s+1)^2\)
12. \(49p^2-1=(7p+1)(7p-1)\)