Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9p^{8}-66p^4s+121s^2\)
- \(p^2-121\)
- \(49x^2-169s^{8}\)
- \(s^2+26s+169\)
- \(y^2+16y+64\)
- \(36b^2-132b+121\)
- \(16y^{4}+104y^2+169\)
- \(196x^{8}+252x^4+81\)
- \(-256x^2+121\)
- \(q^2-16\)
- \(36p^2-25b^{10}\)
- \(y^2+10y+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9p^{8}-66p^4s+121s^2=(3p^4-11s)^2\)
- \(p^2-121=(p+11)(p-11)\)
- \(49x^2-169s^{8}=(7x-13s^4)(7x+13s^4)\)
- \(s^2+26s+169=(s+13)^2\)
- \(y^2+16y+64=(y+8)^2\)
- \(36b^2-132b+121=(6b-11)^2\)
- \(16y^{4}+104y^2+169=(4y^2+13)^2\)
- \(196x^{8}+252x^4+81=(14x^4+9)^2\)
- \(-256x^2+121=(11-16x)(11+16x)\)
- \(q^2-16=(q+4)(q-4)\)
- \(36p^2-25b^{10}=(6p-5b^5)(6p+5b^5)\)
- \(y^2+10y+25=(y+5)^2\)