Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(y^2+8y+16\)
- \(100b^{10}+140b^5x+49x^2\)
- \(x^2-4\)
- \(x^2-4x+4\)
- \(225x^2-49p^{16}\)
- \(x^2-100\)
- \(36p^{8}-132p^4s+121s^2\)
- \(169a^{16}-100s^2\)
- \(169q^{10}+26q^5+1\)
- \(y^2-49\)
- \(49b^{10}-84b^5+36\)
- \(64-49s^{8}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(y^2+8y+16=(y+4)^2\)
- \(100b^{10}+140b^5x+49x^2=(10b^5+7x)^2\)
- \(x^2-4=(x-2)(x+2)\)
- \(x^2-4x+4=(x-2)^2\)
- \(225x^2-49p^{16}=(15x-7p^8)(15x+7p^8)\)
- \(x^2-100=(x-10)(x+10)\)
- \(36p^{8}-132p^4s+121s^2=(6p^4-11s)^2\)
- \(169a^{16}-100s^2=(13a^8+10s)(13a^8-10s)\)
- \(169q^{10}+26q^5+1=(13q^5+1)^2\)
- \(y^2-49=(y-7)(y+7)\)
- \(49b^{10}-84b^5+36=(7b^5-6)^2\)
- \(64-49s^{8}=(8-7s^4)(8+7s^4)\)