Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-49\)
2. \(s^2-4\)
3. \(9y^2-256q^{8}\)
4. \(49-100a^{4}\)
5. \(81-196p^{8}\)
6. \(q^2+2q+1\)
7. \(49b^2-126b+81\)
8. \(49s^{6}+14s^3+1\)
9. \(16a^2+104a+169\)
10. \(4b^{4}-25\)
11. \(121x^2-286x+169\)
12. \(9s^{8}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-49=(q-7)(q+7)\)
2. \(s^2-4=(s-2)(s+2)\)
3. \(9y^2-256q^{8}=(3y-16q^4)(3y+16q^4)\)
4. \(49-100a^{4}=(7-10a^2)(7+10a^2)\)
5. \(81-196p^{8}=(9-14p^4)(9+14p^4)\)
6. \(q^2+2q+1=(q+1)^2\)
7. \(49b^2-126b+81=(7b-9)^2\)
8. \(49s^{6}+14s^3+1=(7s^3+1)^2\)
9. \(16a^2+104a+169=(4a+13)^2\)
10. \(4b^{4}-25=(2b^2+5)(2b^2-5)\)
11. \(121x^2-286x+169=(11x-13)^2\)
12. \(9s^{8}-1=(3s^4+1)(3s^4-1)\)