Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^2+18a+1\)
2. \(-9y^2+196\)
3. \(p^2-169\)
4. \(121-64s^{8}\)
5. \(9b^{10}+30b^5+25\)
6. \(a^2-28a+196\)
7. \(s^2-81\)
8. \(25q^{4}+70q^2x+49x^2\)
9. \(-4b^2+1\)
10. \(81q^2-4p^{12}\)
11. \(-9s^2+169\)
12. \(81s^{6}-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^2+18a+1=(9a+1)^2\)
2. \(-9y^2+196=(14-3y)(14+3y)\)
3. \(p^2-169=(p+13)(p-13)\)
4. \(121-64s^{8}=(11-8s^4)(11+8s^4)\)
5. \(9b^{10}+30b^5+25=(3b^5+5)^2\)
6. \(a^2-28a+196=(a-14)^2\)
7. \(s^2-81=(s+9)(s-9)\)
8. \(25q^{4}+70q^2x+49x^2=(5q^2+7x)^2\)
9. \(-4b^2+1=(1-2b)(1+2b)\)
10. \(81q^2-4p^{12}=(9q-2p^6)(9q+2p^6)\)
11. \(-9s^2+169=(13-3s)(13+3s)\)
12. \(81s^{6}-16=(9s^3+4)(9s^3-4)\)