Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(4x^{4}+4x^2y+1y^2\)
- \(169-64q^{12}\)
- \(p^2-8p+16\)
- \(p^2-64\)
- \(y^2+24y+144\)
- \(x^2-12x+36\)
- \(a^2+12a+36\)
- \(144a^{8}+24a^4y+1y^2\)
- \(144p^{4}-264p^2+121\)
- \(25p^2-140p+196\)
- \(4q^{6}+4q^3+1\)
- \(16b^2-56b+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(4x^{4}+4x^2y+1y^2=(2x^2+y)^2\)
- \(169-64q^{12}=(13-8q^6)(13+8q^6)\)
- \(p^2-8p+16=(p-4)^2\)
- \(p^2-64=(p-8)(p+8)\)
- \(y^2+24y+144=(y+12)^2\)
- \(x^2-12x+36=(x-6)^2\)
- \(a^2+12a+36=(a+6)^2\)
- \(144a^{8}+24a^4y+1y^2=(12a^4+y)^2\)
- \(144p^{4}-264p^2+121=(12p^2-11)^2\)
- \(25p^2-140p+196=(5p-14)^2\)
- \(4q^{6}+4q^3+1=(2q^3+1)^2\)
- \(16b^2-56b+49=(4b-7)^2\)