Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25p^2+90p+81\)
- \(81s^{10}-72s^5+16\)
- \(9b^{10}+78b^5q+169q^2\)
- \(169q^{10}-16y^2\)
- \(36p^2+12p+1\)
- \(36s^{8}-121\)
- \(16p^{8}-25x^2\)
- \(p^2-121\)
- \(64x^{14}-225y^2\)
- \(36b^2-25\)
- \(49y^2-9q^{10}\)
- \(16q^{8}+40q^4+25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25p^2+90p+81=(5p+9)^2\)
- \(81s^{10}-72s^5+16=(9s^5-4)^2\)
- \(9b^{10}+78b^5q+169q^2=(3b^5+13q)^2\)
- \(169q^{10}-16y^2=(13q^5+4y)(13q^5-4y)\)
- \(36p^2+12p+1=(6p+1)^2\)
- \(36s^{8}-121=(6s^4+11)(6s^4-11)\)
- \(16p^{8}-25x^2=(4p^4+5x)(4p^4-5x)\)
- \(p^2-121=(p+11)(p-11)\)
- \(64x^{14}-225y^2=(8x^7+15y)(8x^7-15y)\)
- \(36b^2-25=(6b+5)(6b-5)\)
- \(49y^2-9q^{10}=(7y-3q^5)(7y+3q^5)\)
- \(16q^{8}+40q^4+25=(4q^4+5)^2\)