Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(a^2+30a+225\)
- \(49x^{12}-1\)
- \(49x^2+168x+144\)
- \(x^2-18x+81\)
- \(q^2+4q+4\)
- \(36a^{10}+60a^5+25\)
- \(9s^2-49\)
- \(100-81y^{4}\)
- \(p^2-225\)
- \(225b^{4}+240b^2+64\)
- \(100q^{4}-60q^2x+9x^2\)
- \(25-36s^{10}\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(a^2+30a+225=(a+15)^2\)
- \(49x^{12}-1=(7x^6+1)(7x^6-1)\)
- \(49x^2+168x+144=(7x+12)^2\)
- \(x^2-18x+81=(x-9)^2\)
- \(q^2+4q+4=(q+2)^2\)
- \(36a^{10}+60a^5+25=(6a^5+5)^2\)
- \(9s^2-49=(3s+7)(3s-7)\)
- \(100-81y^{4}=(10-9y^2)(10+9y^2)\)
- \(p^2-225=(p+15)(p-15)\)
- \(225b^{4}+240b^2+64=(15b^2+8)^2\)
- \(100q^{4}-60q^2x+9x^2=(10q^2-3x)^2\)
- \(25-36s^{10}=(5-6s^5)(5+6s^5)\)