Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(4x^{6}-9y^2\)
- \(4y^2-169\)
- \(p^2-22p+121\)
- \(x^2-81\)
- \(25-81p^{10}\)
- \(225q^{8}-60q^4+4\)
- \(4x^2+44x+121\)
- \(9y^2-12y+4\)
- \(169q^{8}+312q^4x+144x^2\)
- \(144q^{12}-121\)
- \(49q^2+28q+4\)
- \(64p^{16}-49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(4x^{6}-9y^2=(2x^3+3y)(2x^3-3y)\)
- \(4y^2-169=(2y+13)(2y-13)\)
- \(p^2-22p+121=(p-11)^2\)
- \(x^2-81=(x+9)(x-9)\)
- \(25-81p^{10}=(5-9p^5)(5+9p^5)\)
- \(225q^{8}-60q^4+4=(15q^4-2)^2\)
- \(4x^2+44x+121=(2x+11)^2\)
- \(9y^2-12y+4=(3y-2)^2\)
- \(169q^{8}+312q^4x+144x^2=(13q^4+12x)^2\)
- \(144q^{12}-121=(12q^6+11)(12q^6-11)\)
- \(49q^2+28q+4=(7q+2)^2\)
- \(64p^{16}-49=(8p^8+7)(8p^8-7)\)