Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(64a^2+144a+81\)
- \(121p^{10}-286p^5+169\)
- \(a^2-4a+4\)
- \(64p^{6}+16p^3+1\)
- \(64x^2+176x+121\)
- \(-121x^2+49\)
- \(81p^{10}+72p^5y+16y^2\)
- \(b^{6}-36q^2\)
- \(q^2-25\)
- \(81p^{6}-72p^3x+16x^2\)
- \(36y^{8}-25\)
- \(81q^2-72q+16\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(64a^2+144a+81=(8a+9)^2\)
- \(121p^{10}-286p^5+169=(11p^5-13)^2\)
- \(a^2-4a+4=(a-2)^2\)
- \(64p^{6}+16p^3+1=(8p^3+1)^2\)
- \(64x^2+176x+121=(8x+11)^2\)
- \(-121x^2+49=(7-11x)(7+11x)\)
- \(81p^{10}+72p^5y+16y^2=(9p^5+4y)^2\)
- \(b^{6}-36q^2=(b^3+6q)(b^3-6q)\)
- \(q^2-25=(q+5)(q-5)\)
- \(81p^{6}-72p^3x+16x^2=(9p^3-4x)^2\)
- \(36y^{8}-25=(6y^4+5)(6y^4-5)\)
- \(81q^2-72q+16=(9q-4)^2\)