Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(25x^2-144b^{16}\)
- \(q^2-25\)
- \(64a^{8}+16a^4x+1x^2\)
- \(64y^2-240y+225\)
- \(169b^{4}-9\)
- \(-81q^2+25\)
- \(q^2-64\)
- \(169x^{10}+130x^5y+25y^2\)
- \(4p^2+36p+81\)
- \(36p^{4}+132p^2+121\)
- \(64a^{4}-81x^2\)
- \(225p^{10}-420p^5x+196x^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(25x^2-144b^{16}=(5x-12b^8)(5x+12b^8)\)
- \(q^2-25=(q-5)(q+5)\)
- \(64a^{8}+16a^4x+1x^2=(8a^4+x)^2\)
- \(64y^2-240y+225=(8y-15)^2\)
- \(169b^{4}-9=(13b^2+3)(13b^2-3)\)
- \(-81q^2+25=(5-9q)(5+9q)\)
- \(q^2-64=(q-8)(q+8)\)
- \(169x^{10}+130x^5y+25y^2=(13x^5+5y)^2\)
- \(4p^2+36p+81=(2p+9)^2\)
- \(36p^{4}+132p^2+121=(6p^2+11)^2\)
- \(64a^{4}-81x^2=(8a^2+9x)(8a^2-9x)\)
- \(225p^{10}-420p^5x+196x^2=(15p^5-14x)^2\)