Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9y^2-121p^{4}\)
- \(p^2+26p+169\)
- \(9a^{8}-12a^4+4\)
- \(4y^2+4y+1\)
- \(a^2+8a+16\)
- \(-4b^2+25\)
- \(16s^{6}+104s^3+169\)
- \(16s^2-9q^{4}\)
- \(144a^{6}+120a^3b+25b^2\)
- \(49-16p^{10}\)
- \(-9a^2+49\)
- \(64p^{8}-80p^4+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9y^2-121p^{4}=(3y-11p^2)(3y+11p^2)\)
- \(p^2+26p+169=(p+13)^2\)
- \(9a^{8}-12a^4+4=(3a^4-2)^2\)
- \(4y^2+4y+1=(2y+1)^2\)
- \(a^2+8a+16=(a+4)^2\)
- \(-4b^2+25=(5-2b)(5+2b)\)
- \(16s^{6}+104s^3+169=(4s^3+13)^2\)
- \(16s^2-9q^{4}=(4s-3q^2)(4s+3q^2)\)
- \(144a^{6}+120a^3b+25b^2=(12a^3+5b)^2\)
- \(49-16p^{10}=(7-4p^5)(7+4p^5)\)
- \(-9a^2+49=(7-3a)(7+3a)\)
- \(64p^{8}-80p^4+25=(8p^4-5)^2\)