Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(p^2-9\)
- \(144q^{10}+264q^5+121\)
- \(256a^{8}-225b^2\)
- \(s^2-169\)
- \(25b^{12}-81p^2\)
- \(81y^2-16\)
- \(169p^2-64b^{4}\)
- \(16s^2+72s+81\)
- \(256s^{6}-96s^3+9\)
- \(-9q^2+100\)
- \(x^2-121\)
- \(25b^{16}-9s^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(p^2-9=(p+3)(p-3)\)
- \(144q^{10}+264q^5+121=(12q^5+11)^2\)
- \(256a^{8}-225b^2=(16a^4+15b)(16a^4-15b)\)
- \(s^2-169=(s-13)(s+13)\)
- \(25b^{12}-81p^2=(5b^6+9p)(5b^6-9p)\)
- \(81y^2-16=(9y+4)(9y-4)\)
- \(169p^2-64b^{4}=(13p-8b^2)(13p+8b^2)\)
- \(16s^2+72s+81=(4s+9)^2\)
- \(256s^{6}-96s^3+9=(16s^3-3)^2\)
- \(-9q^2+100=(10-3q)(10+3q)\)
- \(x^2-121=(x-11)(x+11)\)
- \(25b^{16}-9s^2=(5b^8+3s)(5b^8-3s)\)