Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81b^{8}-144b^4+64\)
2. \(q^2-22q+121\)
3. \(196a^{4}+28a^2s+1s^2\)
4. \(49s^2-169\)
5. \(x^2+26x+169\)
6. \(36q^{10}+12q^5x+1x^2\)
7. \(196p^2-25\)
8. \(49a^{6}-84a^3+36\)
9. \(9y^2-100x^{8}\)
10. \(256y^{10}+32y^5+1\)
11. \(81y^2-49\)
12. \(25s^2-121b^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81b^{8}-144b^4+64=(9b^4-8)^2\)
2. \(q^2-22q+121=(q-11)^2\)
3. \(196a^{4}+28a^2s+1s^2=(14a^2+s)^2\)
4. \(49s^2-169=(7s+13)(7s-13)\)
5. \(x^2+26x+169=(x+13)^2\)
6. \(36q^{10}+12q^5x+1x^2=(6q^5+x)^2\)
7. \(196p^2-25=(14p+5)(14p-5)\)
8. \(49a^{6}-84a^3+36=(7a^3-6)^2\)
9. \(9y^2-100x^{8}=(3y-10x^4)(3y+10x^4)\)
10. \(256y^{10}+32y^5+1=(16y^5+1)^2\)
11. \(81y^2-49=(9y+7)(9y-7)\)
12. \(25s^2-121b^{6}=(5s-11b^3)(5s+11b^3)\)