Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16a^{16}-25s^2\)
- \(81s^2-4p^{8}\)
- \(196-81s^{16}\)
- \(b^2-14b+49\)
- \(36a^{10}-60a^5+25\)
- \(9x^2-64q^{8}\)
- \(100b^{10}+140b^5q+49q^2\)
- \(225a^{14}-121q^2\)
- \(x^2-121\)
- \(a^2-144\)
- \(9y^{8}-169\)
- \(a^2-36\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16a^{16}-25s^2=(4a^8+5s)(4a^8-5s)\)
- \(81s^2-4p^{8}=(9s-2p^4)(9s+2p^4)\)
- \(196-81s^{16}=(14-9s^8)(14+9s^8)\)
- \(b^2-14b+49=(b-7)^2\)
- \(36a^{10}-60a^5+25=(6a^5-5)^2\)
- \(9x^2-64q^{8}=(3x-8q^4)(3x+8q^4)\)
- \(100b^{10}+140b^5q+49q^2=(10b^5+7q)^2\)
- \(225a^{14}-121q^2=(15a^7+11q)(15a^7-11q)\)
- \(x^2-121=(x+11)(x-11)\)
- \(a^2-144=(a+12)(a-12)\)
- \(9y^{8}-169=(3y^4+13)(3y^4-13)\)
- \(a^2-36=(a-6)(a+6)\)