Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(49s^{6}+42s^3+9\)
- \(y^2+26y+169\)
- \(b^2-22b+121\)
- \(100b^{12}-81p^2\)
- \(-144y^2+25\)
- \(x^2-81\)
- \(64a^{4}-80a^2+25\)
- \(4a^{10}+12a^5x+9x^2\)
- \(225a^2-16\)
- \(36s^2-121q^{10}\)
- \(25-4x^{8}\)
- \(-81a^2+16\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(49s^{6}+42s^3+9=(7s^3+3)^2\)
- \(y^2+26y+169=(y+13)^2\)
- \(b^2-22b+121=(b-11)^2\)
- \(100b^{12}-81p^2=(10b^6+9p)(10b^6-9p)\)
- \(-144y^2+25=(5-12y)(5+12y)\)
- \(x^2-81=(x-9)(x+9)\)
- \(64a^{4}-80a^2+25=(8a^2-5)^2\)
- \(4a^{10}+12a^5x+9x^2=(2a^5+3x)^2\)
- \(225a^2-16=(15a+4)(15a-4)\)
- \(36s^2-121q^{10}=(6s-11q^5)(6s+11q^5)\)
- \(25-4x^{8}=(5-2x^4)(5+2x^4)\)
- \(-81a^2+16=(4-9a)(4+9a)\)