Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64q^2-49\)
2. \(49a^{4}+84a^2+36\)
3. \(36y^2-1\)
4. \(121p^2-9\)
5. \(36y^2-60y+25\)
6. \(196a^{8}-308a^4q+121q^2\)
7. \(16a^{4}+40a^2x+25x^2\)
8. \(100a^{6}+140a^3s+49s^2\)
9. \(x^2-144\)
10. \(-196a^2+121\)
11. \(64b^{8}+144b^4+81\)
12. \(9y^2+6y+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64q^2-49=(8q+7)(8q-7)\)
2. \(49a^{4}+84a^2+36=(7a^2+6)^2\)
3. \(36y^2-1=(6y+1)(6y-1)\)
4. \(121p^2-9=(11p+3)(11p-3)\)
5. \(36y^2-60y+25=(6y-5)^2\)
6. \(196a^{8}-308a^4q+121q^2=(14a^4-11q)^2\)
7. \(16a^{4}+40a^2x+25x^2=(4a^2+5x)^2\)
8. \(100a^{6}+140a^3s+49s^2=(10a^3+7s)^2\)
9. \(x^2-144=(x+12)(x-12)\)
10. \(-196a^2+121=(11-14a)(11+14a)\)
11. \(64b^{8}+144b^4+81=(8b^4+9)^2\)
12. \(9y^2+6y+1=(3y+1)^2\)