Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(b^2+4b+4\)
- \(25q^2-90q+81\)
- \(b^2-81\)
- \(225a^{10}-4x^2\)
- \(256b^{10}+288b^5y+81y^2\)
- \(144p^{8}-121q^2\)
- \(y^2-14y+49\)
- \(a^2-81\)
- \(25x^{10}-90x^5+81\)
- \(x^2-10x+25\)
- \(25q^{4}-90q^2y+81y^2\)
- \(256s^{4}-96s^2+9\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(b^2+4b+4=(b+2)^2\)
- \(25q^2-90q+81=(5q-9)^2\)
- \(b^2-81=(b-9)(b+9)\)
- \(225a^{10}-4x^2=(15a^5+2x)(15a^5-2x)\)
- \(256b^{10}+288b^5y+81y^2=(16b^5+9y)^2\)
- \(144p^{8}-121q^2=(12p^4+11q)(12p^4-11q)\)
- \(y^2-14y+49=(y-7)^2\)
- \(a^2-81=(a+9)(a-9)\)
- \(25x^{10}-90x^5+81=(5x^5-9)^2\)
- \(x^2-10x+25=(x-5)^2\)
- \(25q^{4}-90q^2y+81y^2=(5q^2-9y)^2\)
- \(256s^{4}-96s^2+9=(16s^2-3)^2\)