Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(q^2-26q+169\)
- \(64x^{4}+16x^2+1\)
- \(x^2-1\)
- \(p^2-196\)
- \(p^2+28p+196\)
- \(4-169p^{16}\)
- \(144x^{8}-264x^4y+121y^2\)
- \(100p^2+180p+81\)
- \(100a^{4}-81\)
- \(169a^2-156a+36\)
- \(16p^{16}-49\)
- \(100p^2-9\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(q^2-26q+169=(q-13)^2\)
- \(64x^{4}+16x^2+1=(8x^2+1)^2\)
- \(x^2-1=(x-1)(x+1)\)
- \(p^2-196=(p+14)(p-14)\)
- \(p^2+28p+196=(p+14)^2\)
- \(4-169p^{16}=(2-13p^8)(2+13p^8)\)
- \(144x^{8}-264x^4y+121y^2=(12x^4-11y)^2\)
- \(100p^2+180p+81=(10p+9)^2\)
- \(100a^{4}-81=(10a^2+9)(10a^2-9)\)
- \(169a^2-156a+36=(13a-6)^2\)
- \(16p^{16}-49=(4p^8+7)(4p^8-7)\)
- \(100p^2-9=(10p+3)(10p-3)\)