Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121q^2-176q+64\)
2. \(25-4s^{12}\)
3. \(256b^{4}+32b^2+1\)
4. \(81a^{6}+72a^3+16\)
5. \(196s^2+364s+169\)
6. \(36y^{6}-60y^3+25\)
7. \(121p^{4}-154p^2y+49y^2\)
8. \(196s^2+28s+1\)
9. \(121p^{8}+110p^4+25\)
10. \(49y^2-182y+169\)
11. \(s^2-16\)
12. \(y^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121q^2-176q+64=(11q-8)^2\)
2. \(25-4s^{12}=(5-2s^6)(5+2s^6)\)
3. \(256b^{4}+32b^2+1=(16b^2+1)^2\)
4. \(81a^{6}+72a^3+16=(9a^3+4)^2\)
5. \(196s^2+364s+169=(14s+13)^2\)
6. \(36y^{6}-60y^3+25=(6y^3-5)^2\)
7. \(121p^{4}-154p^2y+49y^2=(11p^2-7y)^2\)
8. \(196s^2+28s+1=(14s+1)^2\)
9. \(121p^{8}+110p^4+25=(11p^4+5)^2\)
10. \(49y^2-182y+169=(7y-13)^2\)
11. \(s^2-16=(s-4)(s+4)\)
12. \(y^2-144=(y+12)(y-12)\)