Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(-225a^2+1\)
- \(s^2-144\)
- \(144s^{8}+120s^4x+25x^2\)
- \(-25a^2+36\)
- \(x^2+30x+225\)
- \(25s^{6}-140s^3x+196x^2\)
- \(a^2-121\)
- \(121s^{10}-286s^5x+169x^2\)
- \(16q^2+120q+225\)
- \(225x^{16}-16y^2\)
- \(144p^{14}-121\)
- \(64s^2-80s+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(-225a^2+1=(1-15a)(1+15a)\)
- \(s^2-144=(s-12)(s+12)\)
- \(144s^{8}+120s^4x+25x^2=(12s^4+5x)^2\)
- \(-25a^2+36=(6-5a)(6+5a)\)
- \(x^2+30x+225=(x+15)^2\)
- \(25s^{6}-140s^3x+196x^2=(5s^3-14x)^2\)
- \(a^2-121=(a-11)(a+11)\)
- \(121s^{10}-286s^5x+169x^2=(11s^5-13x)^2\)
- \(16q^2+120q+225=(4q+15)^2\)
- \(225x^{16}-16y^2=(15x^8+4y)(15x^8-4y)\)
- \(144p^{14}-121=(12p^7+11)(12p^7-11)\)
- \(64s^2-80s+25=(8s-5)^2\)