Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^2+12q+1\)
2. \(196x^2-9\)
3. \(s^2-196\)
4. \(b^2-22b+121\)
5. \(9p^{8}-121s^2\)
6. \(100b^{8}-49s^2\)
7. \(225a^{6}+390a^3p+169p^2\)
8. \(4b^{4}+4b^2s+1s^2\)
9. \(81s^2+72s+16\)
10. \(144y^{10}+24y^5+1\)
11. \(36q^2-169\)
12. \(s^2-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^2+12q+1=(6q+1)^2\)
2. \(196x^2-9=(14x+3)(14x-3)\)
3. \(s^2-196=(s+14)(s-14)\)
4. \(b^2-22b+121=(b-11)^2\)
5. \(9p^{8}-121s^2=(3p^4+11s)(3p^4-11s)\)
6. \(100b^{8}-49s^2=(10b^4+7s)(10b^4-7s)\)
7. \(225a^{6}+390a^3p+169p^2=(15a^3+13p)^2\)
8. \(4b^{4}+4b^2s+1s^2=(2b^2+s)^2\)
9. \(81s^2+72s+16=(9s+4)^2\)
10. \(144y^{10}+24y^5+1=(12y^5+1)^2\)
11. \(36q^2-169=(6q+13)(6q-13)\)
12. \(s^2-1=(s+1)(s-1)\)