Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(y^2-169\)
- \(36y^2+84y+49\)
- \(25x^2+30x+9\)
- \(81p^{6}-25\)
- \(225a^2-49\)
- \(4a^{4}+4a^2s+1s^2\)
- \(25a^{8}-90a^4b+81b^2\)
- \(16y^2-81x^{10}\)
- \(256s^2+32s+1\)
- \(49s^{4}-169x^2\)
- \(100p^{8}-60p^4x+9x^2\)
- \(y^2+4y+4\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(y^2-169=(y-13)(y+13)\)
- \(36y^2+84y+49=(6y+7)^2\)
- \(25x^2+30x+9=(5x+3)^2\)
- \(81p^{6}-25=(9p^3+5)(9p^3-5)\)
- \(225a^2-49=(15a+7)(15a-7)\)
- \(4a^{4}+4a^2s+1s^2=(2a^2+s)^2\)
- \(25a^{8}-90a^4b+81b^2=(5a^4-9b)^2\)
- \(16y^2-81x^{10}=(4y-9x^5)(4y+9x^5)\)
- \(256s^2+32s+1=(16s+1)^2\)
- \(49s^{4}-169x^2=(7s^2+13x)(7s^2-13x)\)
- \(100p^{8}-60p^4x+9x^2=(10p^4-3x)^2\)
- \(y^2+4y+4=(y+2)^2\)