Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9b^2-16a^{12}\)
- \(64b^{12}-25x^2\)
- \(81p^{4}+252p^2q+196q^2\)
- \(64a^2-9\)
- \(36q^2-132q+121\)
- \(64a^{8}-240a^4p+225p^2\)
- \(-49q^2+1\)
- \(b^2-4\)
- \(144q^{6}-264q^3s+121s^2\)
- \(-36q^2+1\)
- \(q^2-81\)
- \(25b^{8}-140b^4q+196q^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9b^2-16a^{12}=(3b-4a^6)(3b+4a^6)\)
- \(64b^{12}-25x^2=(8b^6+5x)(8b^6-5x)\)
- \(81p^{4}+252p^2q+196q^2=(9p^2+14q)^2\)
- \(64a^2-9=(8a+3)(8a-3)\)
- \(36q^2-132q+121=(6q-11)^2\)
- \(64a^{8}-240a^4p+225p^2=(8a^4-15p)^2\)
- \(-49q^2+1=(1-7q)(1+7q)\)
- \(b^2-4=(b+2)(b-2)\)
- \(144q^{6}-264q^3s+121s^2=(12q^3-11s)^2\)
- \(-36q^2+1=(1-6q)(1+6q)\)
- \(q^2-81=(q+9)(q-9)\)
- \(25b^{8}-140b^4q+196q^2=(5b^4-14q)^2\)