Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(y^2-30y+225\)
- \(196s^2-25\)
- \(196p^{10}+420p^5x+225x^2\)
- \(9p^2-66p+121\)
- \(196p^2+28p+1\)
- \(225y^2-49\)
- \(4b^{4}+4b^2+1\)
- \(169b^{6}-416b^3+256\)
- \(36y^{10}+12y^5+1\)
- \(x^2+22x+121\)
- \(-25p^2+144\)
- \(b^2-14b+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(y^2-30y+225=(y-15)^2\)
- \(196s^2-25=(14s+5)(14s-5)\)
- \(196p^{10}+420p^5x+225x^2=(14p^5+15x)^2\)
- \(9p^2-66p+121=(3p-11)^2\)
- \(196p^2+28p+1=(14p+1)^2\)
- \(225y^2-49=(15y+7)(15y-7)\)
- \(4b^{4}+4b^2+1=(2b^2+1)^2\)
- \(169b^{6}-416b^3+256=(13b^3-16)^2\)
- \(36y^{10}+12y^5+1=(6y^5+1)^2\)
- \(x^2+22x+121=(x+11)^2\)
- \(-25p^2+144=(12-5p)(12+5p)\)
- \(b^2-14b+49=(b-7)^2\)