Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16x^2-24x+9\)
- \(100b^2+140b+49\)
- \(x^2+6x+9\)
- \(144b^{6}-25p^2\)
- \(225b^{8}-49p^2\)
- \(-81x^2+1\)
- \(1-196p^{8}\)
- \(p^2-4p+4\)
- \(-25y^2+121\)
- \(16x^2+72x+81\)
- \(81y^2-256b^{16}\)
- \(s^2-225\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16x^2-24x+9=(4x-3)^2\)
- \(100b^2+140b+49=(10b+7)^2\)
- \(x^2+6x+9=(x+3)^2\)
- \(144b^{6}-25p^2=(12b^3+5p)(12b^3-5p)\)
- \(225b^{8}-49p^2=(15b^4+7p)(15b^4-7p)\)
- \(-81x^2+1=(1-9x)(1+9x)\)
- \(1-196p^{8}=(1-14p^4)(1+14p^4)\)
- \(p^2-4p+4=(p-2)^2\)
- \(-25y^2+121=(11-5y)(11+5y)\)
- \(16x^2+72x+81=(4x+9)^2\)
- \(81y^2-256b^{16}=(9y-16b^8)(9y+16b^8)\)
- \(s^2-225=(s-15)(s+15)\)