Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81x^2-16\)
2. \(169p^2-156p+36\)
3. \(-100a^2+1\)
4. \(256q^{4}-9\)
5. \(a^2+24a+144\)
6. \(121q^2-169a^{6}\)
7. \(a^2-12a+36\)
8. \(y^2-16\)
9. \(144p^{6}+264p^3+121\)
10. \(144a^{12}-25q^2\)
11. \(256s^2-169\)
12. \(25s^{4}-20s^2+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81x^2-16=(9x+4)(9x-4)\)
2. \(169p^2-156p+36=(13p-6)^2\)
3. \(-100a^2+1=(1-10a)(1+10a)\)
4. \(256q^{4}-9=(16q^2+3)(16q^2-3)\)
5. \(a^2+24a+144=(a+12)^2\)
6. \(121q^2-169a^{6}=(11q-13a^3)(11q+13a^3)\)
7. \(a^2-12a+36=(a-6)^2\)
8. \(y^2-16=(y-4)(y+4)\)
9. \(144p^{6}+264p^3+121=(12p^3+11)^2\)
10. \(144a^{12}-25q^2=(12a^6+5q)(12a^6-5q)\)
11. \(256s^2-169=(16s+13)(16s-13)\)
12. \(25s^{4}-20s^2+4=(5s^2-2)^2\)