Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144q^2-264q+121\)
2. \(x^2-144\)
3. \(a^2-1\)
4. \(-64b^2+49\)
5. \(100b^{8}+20b^4q+1q^2\)
6. \(49q^{10}-28q^5x+4x^2\)
7. \(4x^{16}-49\)
8. \(121-196y^{4}\)
9. \(q^2+18q+81\)
10. \(81a^2-198a+121\)
11. \(a^2-9\)
12. \(81q^{6}+234q^3+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144q^2-264q+121=(12q-11)^2\)
2. \(x^2-144=(x+12)(x-12)\)
3. \(a^2-1=(a+1)(a-1)\)
4. \(-64b^2+49=(7-8b)(7+8b)\)
5. \(100b^{8}+20b^4q+1q^2=(10b^4+q)^2\)
6. \(49q^{10}-28q^5x+4x^2=(7q^5-2x)^2\)
7. \(4x^{16}-49=(2x^8+7)(2x^8-7)\)
8. \(121-196y^{4}=(11-14y^2)(11+14y^2)\)
9. \(q^2+18q+81=(q+9)^2\)
10. \(81a^2-198a+121=(9a-11)^2\)
11. \(a^2-9=(a-3)(a+3)\)
12. \(81q^{6}+234q^3+169=(9q^3+13)^2\)