Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(x^2-121\)
- \(225x^{6}+30x^3+1\)
- \(100s^{10}-180s^5+81\)
- \(s^2-100\)
- \(4x^2-9b^{8}\)
- \(196p^{16}-25\)
- \(-9s^2+16\)
- \(a^2-64\)
- \(196x^{8}-81\)
- \(q^2+2q+1\)
- \(x^2-24x+144\)
- \(81b^{8}-198b^4+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(x^2-121=(x-11)(x+11)\)
- \(225x^{6}+30x^3+1=(15x^3+1)^2\)
- \(100s^{10}-180s^5+81=(10s^5-9)^2\)
- \(s^2-100=(s+10)(s-10)\)
- \(4x^2-9b^{8}=(2x-3b^4)(2x+3b^4)\)
- \(196p^{16}-25=(14p^8+5)(14p^8-5)\)
- \(-9s^2+16=(4-3s)(4+3s)\)
- \(a^2-64=(a+8)(a-8)\)
- \(196x^{8}-81=(14x^4+9)(14x^4-9)\)
- \(q^2+2q+1=(q+1)^2\)
- \(x^2-24x+144=(x-12)^2\)
- \(81b^{8}-198b^4+121=(9b^4-11)^2\)