Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-121\)
2. \(a^2+28a+196\)
3. \(121a^{4}+66a^2s+9s^2\)
4. \(b^2-14b+49\)
5. \(100p^2-81\)
6. \(121x^2-225p^{14}\)
7. \(p^{12}-225q^2\)
8. \(s^2-25\)
9. \(4b^{6}+52b^3+169\)
10. \(81s^{4}+72s^2+16\)
11. \(256p^{6}+32p^3x+1x^2\)
12. \(81s^2-169q^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-121=(b+11)(b-11)\)
2. \(a^2+28a+196=(a+14)^2\)
3. \(121a^{4}+66a^2s+9s^2=(11a^2+3s)^2\)
4. \(b^2-14b+49=(b-7)^2\)
5. \(100p^2-81=(10p+9)(10p-9)\)
6. \(121x^2-225p^{14}=(11x-15p^7)(11x+15p^7)\)
7. \(p^{12}-225q^2=(p^6+15q)(p^6-15q)\)
8. \(s^2-25=(s+5)(s-5)\)
9. \(4b^{6}+52b^3+169=(2b^3+13)^2\)
10. \(81s^{4}+72s^2+16=(9s^2+4)^2\)
11. \(256p^{6}+32p^3x+1x^2=(16p^3+x)^2\)
12. \(81s^2-169q^{12}=(9s-13q^6)(9s+13q^6)\)