Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(9a^{8}-84a^4q+196q^2\)
- \(81a^2-1\)
- \(100q^{10}+220q^5+121\)
- \(49y^2+112y+64\)
- \(q^{8}-9x^2\)
- \(256a^{4}-96a^2q+9q^2\)
- \(256p^{16}-81\)
- \(64b^{10}-208b^5x+169x^2\)
- \(p^2+30p+225\)
- \(4p^{8}+4p^4q+1q^2\)
- \(-169x^2+144\)
- \(144a^2-121\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(9a^{8}-84a^4q+196q^2=(3a^4-14q)^2\)
- \(81a^2-1=(9a+1)(9a-1)\)
- \(100q^{10}+220q^5+121=(10q^5+11)^2\)
- \(49y^2+112y+64=(7y+8)^2\)
- \(q^{8}-9x^2=(q^4+3x)(q^4-3x)\)
- \(256a^{4}-96a^2q+9q^2=(16a^2-3q)^2\)
- \(256p^{16}-81=(16p^8+9)(16p^8-9)\)
- \(64b^{10}-208b^5x+169x^2=(8b^5-13x)^2\)
- \(p^2+30p+225=(p+15)^2\)
- \(4p^{8}+4p^4q+1q^2=(2p^4+q)^2\)
- \(-169x^2+144=(12-13x)(12+13x)\)
- \(144a^2-121=(12a+11)(12a-11)\)