Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-16p+64\)
2. \(225-16y^{4}\)
3. \(49p^{8}-126p^4+81\)
4. \(-196x^2+169\)
5. \(s^2-169\)
6. \(9-196a^{8}\)
7. \(9b^{8}-84b^4x+196x^2\)
8. \(q^2-4\)
9. \(4a^{8}+20a^4p+25p^2\)
10. \(x^2-49\)
11. \(196x^{4}+84x^2+9\)
12. \(s^2+20s+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-16p+64=(p-8)^2\)
2. \(225-16y^{4}=(15-4y^2)(15+4y^2)\)
3. \(49p^{8}-126p^4+81=(7p^4-9)^2\)
4. \(-196x^2+169=(13-14x)(13+14x)\)
5. \(s^2-169=(s-13)(s+13)\)
6. \(9-196a^{8}=(3-14a^4)(3+14a^4)\)
7. \(9b^{8}-84b^4x+196x^2=(3b^4-14x)^2\)
8. \(q^2-4=(q+2)(q-2)\)
9. \(4a^{8}+20a^4p+25p^2=(2a^4+5p)^2\)
10. \(x^2-49=(x-7)(x+7)\)
11. \(196x^{4}+84x^2+9=(14x^2+3)^2\)
12. \(s^2+20s+100=(s+10)^2\)