Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(121p^{6}-44p^3+4\)
- \(-196q^2+9\)
- \(b^2-28b+196\)
- \(16q^{10}-56q^5x+49x^2\)
- \(121a^2-44a+4\)
- \(y^2-121\)
- \(36s^{6}-25x^2\)
- \(p^2-16p+64\)
- \(-100b^2+1\)
- \(36p^2-49\)
- \(x^2-64\)
- \(36x^2-25\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(121p^{6}-44p^3+4=(11p^3-2)^2\)
- \(-196q^2+9=(3-14q)(3+14q)\)
- \(b^2-28b+196=(b-14)^2\)
- \(16q^{10}-56q^5x+49x^2=(4q^5-7x)^2\)
- \(121a^2-44a+4=(11a-2)^2\)
- \(y^2-121=(y-11)(y+11)\)
- \(36s^{6}-25x^2=(6s^3+5x)(6s^3-5x)\)
- \(p^2-16p+64=(p-8)^2\)
- \(-100b^2+1=(1-10b)(1+10b)\)
- \(36p^2-49=(6p+7)(6p-7)\)
- \(x^2-64=(x-8)(x+8)\)
- \(36x^2-25=(6x+5)(6x-5)\)