Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(x^2-81\)
- \(81q^{10}-4s^2\)
- \(9a^{10}-84a^5+196\)
- \(4q^{6}+20q^3y+25y^2\)
- \(64s^2-225\)
- \(b^2+6b+9\)
- \(25s^{14}-144\)
- \(q^2+2q+1\)
- \(q^2+4q+4\)
- \(49p^{8}-84p^4+36\)
- \(-9q^2+16\)
- \(25-64x^{4}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(x^2-81=(x-9)(x+9)\)
- \(81q^{10}-4s^2=(9q^5+2s)(9q^5-2s)\)
- \(9a^{10}-84a^5+196=(3a^5-14)^2\)
- \(4q^{6}+20q^3y+25y^2=(2q^3+5y)^2\)
- \(64s^2-225=(8s+15)(8s-15)\)
- \(b^2+6b+9=(b+3)^2\)
- \(25s^{14}-144=(5s^7+12)(5s^7-12)\)
- \(q^2+2q+1=(q+1)^2\)
- \(q^2+4q+4=(q+2)^2\)
- \(49p^{8}-84p^4+36=(7p^4-6)^2\)
- \(-9q^2+16=(4-3q)(4+3q)\)
- \(25-64x^{4}=(5-8x^2)(5+8x^2)\)