Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-144\)
2. \(169-4x^{12}\)
3. \(16q^2-88q+121\)
4. \(25q^{12}-16x^2\)
5. \(49p^{8}-84p^4+36\)
6. \(121x^2+198x+81\)
7. \(225x^2-60x+4\)
8. \(144b^{10}+264b^5+121\)
9. \(9a^{10}+6a^5b+1b^2\)
10. \(36q^2-p^{8}\)
11. \(s^2+4s+4\)
12. \(9p^{4}+42p^2x+49x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-144=(p-12)(p+12)\)
2. \(169-4x^{12}=(13-2x^6)(13+2x^6)\)
3. \(16q^2-88q+121=(4q-11)^2\)
4. \(25q^{12}-16x^2=(5q^6+4x)(5q^6-4x)\)
5. \(49p^{8}-84p^4+36=(7p^4-6)^2\)
6. \(121x^2+198x+81=(11x+9)^2\)
7. \(225x^2-60x+4=(15x-2)^2\)
8. \(144b^{10}+264b^5+121=(12b^5+11)^2\)
9. \(9a^{10}+6a^5b+1b^2=(3a^5+b)^2\)
10. \(36q^2-p^{8}=(6q-p^4)(6q+p^4)\)
11. \(s^2+4s+4=(s+2)^2\)
12. \(9p^{4}+42p^2x+49x^2=(3p^2+7x)^2\)