Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49p^2+42p+9\)
- \(196x^2-25p^{8}\)
- \(196b^2+252b+81\)
- \(4p^{10}+20p^5+25\)
- \(s^2-1\)
- \(25x^2-36\)
- \(y^2-8y+16\)
- \(121-169x^{4}\)
- \(81b^{8}-36b^4s+4s^2\)
- \(64q^2-112q+49\)
- \(225b^{6}+30b^3+1\)
- \(b^2-100\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49p^2+42p+9=(7p+3)^2\)
- \(196x^2-25p^{8}=(14x-5p^4)(14x+5p^4)\)
- \(196b^2+252b+81=(14b+9)^2\)
- \(4p^{10}+20p^5+25=(2p^5+5)^2\)
- \(s^2-1=(s+1)(s-1)\)
- \(25x^2-36=(5x+6)(5x-6)\)
- \(y^2-8y+16=(y-4)^2\)
- \(121-169x^{4}=(11-13x^2)(11+13x^2)\)
- \(81b^{8}-36b^4s+4s^2=(9b^4-2s)^2\)
- \(64q^2-112q+49=(8q-7)^2\)
- \(225b^{6}+30b^3+1=(15b^3+1)^2\)
- \(b^2-100=(b-10)(b+10)\)