Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36p^{6}+12p^3+1\)
2. \(81x^2-256b^{8}\)
3. \(121q^2-110q+25\)
4. \(-25a^2+169\)
5. \(144s^{10}-264s^5x+121x^2\)
6. \(a^2-196\)
7. \(-49q^2+1\)
8. \(100p^{8}-49q^2\)
9. \(121-144y^{12}\)
10. \(121p^2-44p+4\)
11. \(100a^{12}-9y^2\)
12. \(4b^{10}-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36p^{6}+12p^3+1=(6p^3+1)^2\)
2. \(81x^2-256b^{8}=(9x-16b^4)(9x+16b^4)\)
3. \(121q^2-110q+25=(11q-5)^2\)
4. \(-25a^2+169=(13-5a)(13+5a)\)
5. \(144s^{10}-264s^5x+121x^2=(12s^5-11x)^2\)
6. \(a^2-196=(a-14)(a+14)\)
7. \(-49q^2+1=(1-7q)(1+7q)\)
8. \(100p^{8}-49q^2=(10p^4+7q)(10p^4-7q)\)
9. \(121-144y^{12}=(11-12y^6)(11+12y^6)\)
10. \(121p^2-44p+4=(11p-2)^2\)
11. \(100a^{12}-9y^2=(10a^6+3y)(10a^6-3y)\)
12. \(4b^{10}-169=(2b^5+13)(2b^5-13)\)