Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49b^2-84b+36\)
- \(49-100y^{8}\)
- \(-121y^2+16\)
- \(b^2+6b+9\)
- \(y^2+14y+49\)
- \(64a^{6}+176a^3+121\)
- \(4b^{10}+4b^5p+1p^2\)
- \(9a^2-49\)
- \(p^2-144\)
- \(81x^2-16p^{10}\)
- \(16a^{14}-9b^2\)
- \(49a^{4}+70a^2+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49b^2-84b+36=(7b-6)^2\)
- \(49-100y^{8}=(7-10y^4)(7+10y^4)\)
- \(-121y^2+16=(4-11y)(4+11y)\)
- \(b^2+6b+9=(b+3)^2\)
- \(y^2+14y+49=(y+7)^2\)
- \(64a^{6}+176a^3+121=(8a^3+11)^2\)
- \(4b^{10}+4b^5p+1p^2=(2b^5+p)^2\)
- \(9a^2-49=(3a+7)(3a-7)\)
- \(p^2-144=(p+12)(p-12)\)
- \(81x^2-16p^{10}=(9x-4p^5)(9x+4p^5)\)
- \(16a^{14}-9b^2=(4a^7+3b)(4a^7-3b)\)
- \(49a^{4}+70a^2+25=(7a^2+5)^2\)