Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9x^2-4s^{8}\)
- \(s^2-225\)
- \(64b^{16}-9y^2\)
- \(25p^2-256a^{8}\)
- \(s^2-16\)
- \(25p^{10}-169\)
- \(25p^2-36b^{4}\)
- \(144y^{10}-264y^5+121\)
- \(49-100p^{14}\)
- \(4x^2-b^{4}\)
- \(144a^{12}-1\)
- \(4a^{8}+36a^4x+81x^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9x^2-4s^{8}=(3x-2s^4)(3x+2s^4)\)
- \(s^2-225=(s-15)(s+15)\)
- \(64b^{16}-9y^2=(8b^8+3y)(8b^8-3y)\)
- \(25p^2-256a^{8}=(5p-16a^4)(5p+16a^4)\)
- \(s^2-16=(s-4)(s+4)\)
- \(25p^{10}-169=(5p^5+13)(5p^5-13)\)
- \(25p^2-36b^{4}=(5p-6b^2)(5p+6b^2)\)
- \(144y^{10}-264y^5+121=(12y^5-11)^2\)
- \(49-100p^{14}=(7-10p^7)(7+10p^7)\)
- \(4x^2-b^{4}=(2x-b^2)(2x+b^2)\)
- \(144a^{12}-1=(12a^6+1)(12a^6-1)\)
- \(4a^{8}+36a^4x+81x^2=(2a^4+9x)^2\)