Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49p^{10}-42p^5y+9y^2\)
- \(-9a^2+4\)
- \(36a^{6}-132a^3+121\)
- \(-121y^2+196\)
- \(9p^2-84p+196\)
- \(x^2-121\)
- \(36s^{6}+12s^3y+1y^2\)
- \(b^2-1\)
- \(121p^{10}+264p^5+144\)
- \(49q^2-9a^{8}\)
- \(144q^{10}-168q^5x+49x^2\)
- \(81s^2-100a^{6}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49p^{10}-42p^5y+9y^2=(7p^5-3y)^2\)
- \(-9a^2+4=(2-3a)(2+3a)\)
- \(36a^{6}-132a^3+121=(6a^3-11)^2\)
- \(-121y^2+196=(14-11y)(14+11y)\)
- \(9p^2-84p+196=(3p-14)^2\)
- \(x^2-121=(x+11)(x-11)\)
- \(36s^{6}+12s^3y+1y^2=(6s^3+y)^2\)
- \(b^2-1=(b+1)(b-1)\)
- \(121p^{10}+264p^5+144=(11p^5+12)^2\)
- \(49q^2-9a^{8}=(7q-3a^4)(7q+3a^4)\)
- \(144q^{10}-168q^5x+49x^2=(12q^5-7x)^2\)
- \(81s^2-100a^{6}=(9s-10a^3)(9s+10a^3)\)