Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-9\)
2. \(144q^{10}+264q^5+121\)
3. \(256a^{8}-225b^2\)
4. \(s^2-169\)
5. \(25b^{12}-81p^2\)
6. \(81y^2-16\)
7. \(169p^2-64b^{4}\)
8. \(16s^2+72s+81\)
9. \(256s^{6}-96s^3+9\)
10. \(-9q^2+100\)
11. \(x^2-121\)
12. \(25b^{16}-9s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-9=(p+3)(p-3)\)
2. \(144q^{10}+264q^5+121=(12q^5+11)^2\)
3. \(256a^{8}-225b^2=(16a^4+15b)(16a^4-15b)\)
4. \(s^2-169=(s-13)(s+13)\)
5. \(25b^{12}-81p^2=(5b^6+9p)(5b^6-9p)\)
6. \(81y^2-16=(9y+4)(9y-4)\)
7. \(169p^2-64b^{4}=(13p-8b^2)(13p+8b^2)\)
8. \(16s^2+72s+81=(4s+9)^2\)
9. \(256s^{6}-96s^3+9=(16s^3-3)^2\)
10. \(-9q^2+100=(10-3q)(10+3q)\)
11. \(x^2-121=(x-11)(x+11)\)
12. \(25b^{16}-9s^2=(5b^8+3s)(5b^8-3s)\)