Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9a^{8}+24a^4s+16s^2\)
- \(81b^{6}-72b^3q+16q^2\)
- \(-9y^2+121\)
- \(64p^{10}-240p^5+225\)
- \(-64q^2+1\)
- \(b^2+18b+81\)
- \(x^2-12x+36\)
- \(25b^2-144a^{16}\)
- \(25p^{10}-121\)
- \(64a^{4}-240a^2p+225p^2\)
- \(169y^{12}-4\)
- \(16b^{10}-24b^5q+9q^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9a^{8}+24a^4s+16s^2=(3a^4+4s)^2\)
- \(81b^{6}-72b^3q+16q^2=(9b^3-4q)^2\)
- \(-9y^2+121=(11-3y)(11+3y)\)
- \(64p^{10}-240p^5+225=(8p^5-15)^2\)
- \(-64q^2+1=(1-8q)(1+8q)\)
- \(b^2+18b+81=(b+9)^2\)
- \(x^2-12x+36=(x-6)^2\)
- \(25b^2-144a^{16}=(5b-12a^8)(5b+12a^8)\)
- \(25p^{10}-121=(5p^5+11)(5p^5-11)\)
- \(64a^{4}-240a^2p+225p^2=(8a^2-15p)^2\)
- \(169y^{12}-4=(13y^6+2)(13y^6-2)\)
- \(16b^{10}-24b^5q+9q^2=(4b^5-3q)^2\)