Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(y^2+2y+1\)
- \(16s^{10}-56s^5x+49x^2\)
- \(4b^{10}+36b^5x+81x^2\)
- \(144q^2-b^{12}\)
- \(p^2-121\)
- \(q^2-4\)
- \(196b^{8}+364b^4p+169p^2\)
- \(225a^{6}-210a^3b+49b^2\)
- \(a^2+24a+144\)
- \(x^2-196\)
- \(s^2-36\)
- \(121b^{4}-44b^2+4\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(y^2+2y+1=(y+1)^2\)
- \(16s^{10}-56s^5x+49x^2=(4s^5-7x)^2\)
- \(4b^{10}+36b^5x+81x^2=(2b^5+9x)^2\)
- \(144q^2-b^{12}=(12q-b^6)(12q+b^6)\)
- \(p^2-121=(p+11)(p-11)\)
- \(q^2-4=(q-2)(q+2)\)
- \(196b^{8}+364b^4p+169p^2=(14b^4+13p)^2\)
- \(225a^{6}-210a^3b+49b^2=(15a^3-7b)^2\)
- \(a^2+24a+144=(a+12)^2\)
- \(x^2-196=(x+14)(x-14)\)
- \(s^2-36=(s-6)(s+6)\)
- \(121b^{4}-44b^2+4=(11b^2-2)^2\)