Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^{4}+264x^2+144\)
2. \(-144a^2+1\)
3. \(256s^2+224s+49\)
4. \(s^2-64\)
5. \(196s^{6}+28s^3x+1x^2\)
6. \(1-36x^{14}\)
7. \(100b^{16}-9q^2\)
8. \(4b^{4}+28b^2+49\)
9. \(p^2+24p+144\)
10. \(49q^2-100b^{10}\)
11. \(100p^2-180p+81\)
12. \(81x^2-196a^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^{4}+264x^2+144=(11x^2+12)^2\)
2. \(-144a^2+1=(1-12a)(1+12a)\)
3. \(256s^2+224s+49=(16s+7)^2\)
4. \(s^2-64=(s-8)(s+8)\)
5. \(196s^{6}+28s^3x+1x^2=(14s^3+x)^2\)
6. \(1-36x^{14}=(1-6x^7)(1+6x^7)\)
7. \(100b^{16}-9q^2=(10b^8+3q)(10b^8-3q)\)
8. \(4b^{4}+28b^2+49=(2b^2+7)^2\)
9. \(p^2+24p+144=(p+12)^2\)
10. \(49q^2-100b^{10}=(7q-10b^5)(7q+10b^5)\)
11. \(100p^2-180p+81=(10p-9)^2\)
12. \(81x^2-196a^{6}=(9x-14a^3)(9x+14a^3)\)