Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(a^2-64\)
- \(25y^2-36q^{6}\)
- \(225q^{10}+30q^5y+1y^2\)
- \(196q^{8}+28q^4y+1y^2\)
- \(b^2+18b+81\)
- \(121x^2-154x+49\)
- \(49a^{4}+210a^2b+225b^2\)
- \(225a^{4}-121y^2\)
- \(49s^2-225a^{12}\)
- \(1-81y^{10}\)
- \(q^2+10q+25\)
- \(144q^{6}-168q^3+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(a^2-64=(a-8)(a+8)\)
- \(25y^2-36q^{6}=(5y-6q^3)(5y+6q^3)\)
- \(225q^{10}+30q^5y+1y^2=(15q^5+y)^2\)
- \(196q^{8}+28q^4y+1y^2=(14q^4+y)^2\)
- \(b^2+18b+81=(b+9)^2\)
- \(121x^2-154x+49=(11x-7)^2\)
- \(49a^{4}+210a^2b+225b^2=(7a^2+15b)^2\)
- \(225a^{4}-121y^2=(15a^2+11y)(15a^2-11y)\)
- \(49s^2-225a^{12}=(7s-15a^6)(7s+15a^6)\)
- \(1-81y^{10}=(1-9y^5)(1+9y^5)\)
- \(q^2+10q+25=(q+5)^2\)
- \(144q^{6}-168q^3+49=(12q^3-7)^2\)