Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-26p+169\)
2. \(25a^{6}+90a^3+81\)
3. \(9x^{8}-84x^4+196\)
4. \(196s^{10}-1\)
5. \(144a^{4}+24a^2p+1p^2\)
6. \(25y^2-196b^{16}\)
7. \(121x^2-44x+4\)
8. \(16a^{6}+56a^3b+49b^2\)
9. \(81y^2-256a^{4}\)
10. \(121p^{6}+132p^3x+36x^2\)
11. \(s^2-225\)
12. \(25b^{4}+130b^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-26p+169=(p-13)^2\)
2. \(25a^{6}+90a^3+81=(5a^3+9)^2\)
3. \(9x^{8}-84x^4+196=(3x^4-14)^2\)
4. \(196s^{10}-1=(14s^5+1)(14s^5-1)\)
5. \(144a^{4}+24a^2p+1p^2=(12a^2+p)^2\)
6. \(25y^2-196b^{16}=(5y-14b^8)(5y+14b^8)\)
7. \(121x^2-44x+4=(11x-2)^2\)
8. \(16a^{6}+56a^3b+49b^2=(4a^3+7b)^2\)
9. \(81y^2-256a^{4}=(9y-16a^2)(9y+16a^2)\)
10. \(121p^{6}+132p^3x+36x^2=(11p^3+6x)^2\)
11. \(s^2-225=(s-15)(s+15)\)
12. \(25b^{4}+130b^2+169=(5b^2+13)^2\)