Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(p^2-30p+225\)
- \(q^2-121\)
- \(81s^{10}-234s^5+169\)
- \(225y^{16}-4\)
- \(169a^{8}-104a^4x+16x^2\)
- \(-121p^2+144\)
- \(p^2-16\)
- \(16q^2+72q+81\)
- \(196a^2+28a+1\)
- \(25y^2-36x^{8}\)
- \(a^2-4a+4\)
- \(4y^{6}-49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(p^2-30p+225=(p-15)^2\)
- \(q^2-121=(q+11)(q-11)\)
- \(81s^{10}-234s^5+169=(9s^5-13)^2\)
- \(225y^{16}-4=(15y^8+2)(15y^8-2)\)
- \(169a^{8}-104a^4x+16x^2=(13a^4-4x)^2\)
- \(-121p^2+144=(12-11p)(12+11p)\)
- \(p^2-16=(p-4)(p+4)\)
- \(16q^2+72q+81=(4q+9)^2\)
- \(196a^2+28a+1=(14a+1)^2\)
- \(25y^2-36x^{8}=(5y-6x^4)(5y+6x^4)\)
- \(a^2-4a+4=(a-2)^2\)
- \(4y^{6}-49=(2y^3+7)(2y^3-7)\)