Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9y^{8}+6y^4+1\)
- \(x^2-100\)
- \(100a^{8}-60a^4+9\)
- \(25-49x^{16}\)
- \(256p^{4}-480p^2+225\)
- \(64y^2-121\)
- \(p^{6}-9x^2\)
- \(64q^{4}+208q^2+169\)
- \(225p^{10}+330p^5x+121x^2\)
- \(36y^2-132y+121\)
- \(s^2-25\)
- \(s^2-169\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9y^{8}+6y^4+1=(3y^4+1)^2\)
- \(x^2-100=(x+10)(x-10)\)
- \(100a^{8}-60a^4+9=(10a^4-3)^2\)
- \(25-49x^{16}=(5-7x^8)(5+7x^8)\)
- \(256p^{4}-480p^2+225=(16p^2-15)^2\)
- \(64y^2-121=(8y+11)(8y-11)\)
- \(p^{6}-9x^2=(p^3+3x)(p^3-3x)\)
- \(64q^{4}+208q^2+169=(8q^2+13)^2\)
- \(225p^{10}+330p^5x+121x^2=(15p^5+11x)^2\)
- \(36y^2-132y+121=(6y-11)^2\)
- \(s^2-25=(s+5)(s-5)\)
- \(s^2-169=(s-13)(s+13)\)