Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121b^{6}-176b^3q+64q^2\)
- \(a^2-100\)
- \(16x^{6}+120x^3+225\)
- \(y^2-14y+49\)
- \(49b^{8}+70b^4s+25s^2\)
- \(9s^2-64a^{4}\)
- \(s^2-24s+144\)
- \(81s^{8}-4y^2\)
- \(-196x^2+81\)
- \(9p^2-4\)
- \(169p^{10}-416p^5+256\)
- \(x^2-169\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121b^{6}-176b^3q+64q^2=(11b^3-8q)^2\)
- \(a^2-100=(a-10)(a+10)\)
- \(16x^{6}+120x^3+225=(4x^3+15)^2\)
- \(y^2-14y+49=(y-7)^2\)
- \(49b^{8}+70b^4s+25s^2=(7b^4+5s)^2\)
- \(9s^2-64a^{4}=(3s-8a^2)(3s+8a^2)\)
- \(s^2-24s+144=(s-12)^2\)
- \(81s^{8}-4y^2=(9s^4+2y)(9s^4-2y)\)
- \(-196x^2+81=(9-14x)(9+14x)\)
- \(9p^2-4=(3p+2)(3p-2)\)
- \(169p^{10}-416p^5+256=(13p^5-16)^2\)
- \(x^2-169=(x-13)(x+13)\)