Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(256b^{4}+32b^2q+1q^2\)
- \(25q^{10}+20q^5y+4y^2\)
- \(x^2-100\)
- \(q^2+14q+49\)
- \(25q^{10}-40q^5+16\)
- \(q^2-14q+49\)
- \(256p^2+352p+121\)
- \(121x^2-144\)
- \(81p^2-169b^{12}\)
- \(81s^{4}-169\)
- \(100p^{4}+140p^2y+49y^2\)
- \(q^2+20q+100\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(256b^{4}+32b^2q+1q^2=(16b^2+q)^2\)
- \(25q^{10}+20q^5y+4y^2=(5q^5+2y)^2\)
- \(x^2-100=(x+10)(x-10)\)
- \(q^2+14q+49=(q+7)^2\)
- \(25q^{10}-40q^5+16=(5q^5-4)^2\)
- \(q^2-14q+49=(q-7)^2\)
- \(256p^2+352p+121=(16p+11)^2\)
- \(121x^2-144=(11x+12)(11x-12)\)
- \(81p^2-169b^{12}=(9p-13b^6)(9p+13b^6)\)
- \(81s^{4}-169=(9s^2+13)(9s^2-13)\)
- \(100p^{4}+140p^2y+49y^2=(10p^2+7y)^2\)
- \(q^2+20q+100=(q+10)^2\)