Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(16a^2-1\)
- \(25q^{8}+20q^4+4\)
- \(100-49b^{12}\)
- \(100a^{4}+180a^2+81\)
- \(p^2-30p+225\)
- \(-81b^2+4\)
- \(169a^2+156a+36\)
- \(b^2+2b+1\)
- \(16p^{10}+56p^5+49\)
- \(49q^2-42q+9\)
- \(169s^{10}+286s^5x+121x^2\)
- \(169q^2-121p^{6}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(16a^2-1=(4a+1)(4a-1)\)
- \(25q^{8}+20q^4+4=(5q^4+2)^2\)
- \(100-49b^{12}=(10-7b^6)(10+7b^6)\)
- \(100a^{4}+180a^2+81=(10a^2+9)^2\)
- \(p^2-30p+225=(p-15)^2\)
- \(-81b^2+4=(2-9b)(2+9b)\)
- \(169a^2+156a+36=(13a+6)^2\)
- \(b^2+2b+1=(b+1)^2\)
- \(16p^{10}+56p^5+49=(4p^5+7)^2\)
- \(49q^2-42q+9=(7q-3)^2\)
- \(169s^{10}+286s^5x+121x^2=(13s^5+11x)^2\)
- \(169q^2-121p^{6}=(13q-11p^3)(13q+11p^3)\)