Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(256p^{10}-160p^5+25\)
- \(q^2-169\)
- \(100x^{4}-9\)
- \(y^2-25\)
- \(y^2+8y+16\)
- \(25b^{8}+90b^4+81\)
- \(y^2-49\)
- \(a^2-1\)
- \(-100b^2+49\)
- \(-100q^2+1\)
- \(y^2+2y+1\)
- \(144x^2+264x+121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(256p^{10}-160p^5+25=(16p^5-5)^2\)
- \(q^2-169=(q-13)(q+13)\)
- \(100x^{4}-9=(10x^2+3)(10x^2-3)\)
- \(y^2-25=(y-5)(y+5)\)
- \(y^2+8y+16=(y+4)^2\)
- \(25b^{8}+90b^4+81=(5b^4+9)^2\)
- \(y^2-49=(y+7)(y-7)\)
- \(a^2-1=(a+1)(a-1)\)
- \(-100b^2+49=(7-10b)(7+10b)\)
- \(-100q^2+1=(1-10q)(1+10q)\)
- \(y^2+2y+1=(y+1)^2\)
- \(144x^2+264x+121=(12x+11)^2\)