Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(100q^2+140q+49\)
- \(36q^{4}-25y^2\)
- \(x^2-14x+49\)
- \(81s^2-q^{4}\)
- \(9q^{10}-25\)
- \(-36x^2+1\)
- \(-9y^2+169\)
- \(225-64s^{4}\)
- \(x^2-225\)
- \(p^2-100\)
- \(36p^{10}-132p^5s+121s^2\)
- \(p^2-4\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(100q^2+140q+49=(10q+7)^2\)
- \(36q^{4}-25y^2=(6q^2+5y)(6q^2-5y)\)
- \(x^2-14x+49=(x-7)^2\)
- \(81s^2-q^{4}=(9s-q^2)(9s+q^2)\)
- \(9q^{10}-25=(3q^5+5)(3q^5-5)\)
- \(-36x^2+1=(1-6x)(1+6x)\)
- \(-9y^2+169=(13-3y)(13+3y)\)
- \(225-64s^{4}=(15-8s^2)(15+8s^2)\)
- \(x^2-225=(x-15)(x+15)\)
- \(p^2-100=(p-10)(p+10)\)
- \(36p^{10}-132p^5s+121s^2=(6p^5-11s)^2\)
- \(p^2-4=(p+2)(p-2)\)