Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(p^2-196\)
- \(144a^{10}-264a^5+121\)
- \(256p^2-25\)
- \(144a^{4}-264a^2s+121s^2\)
- \(64p^2+208p+169\)
- \(100a^{10}-180a^5+81\)
- \(36x^{10}-60x^5+25\)
- \(y^2-30y+225\)
- \(p^2-14p+49\)
- \(16q^{4}+56q^2s+49s^2\)
- \(b^{10}-25x^2\)
- \(b^2-4b+4\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(p^2-196=(p+14)(p-14)\)
- \(144a^{10}-264a^5+121=(12a^5-11)^2\)
- \(256p^2-25=(16p+5)(16p-5)\)
- \(144a^{4}-264a^2s+121s^2=(12a^2-11s)^2\)
- \(64p^2+208p+169=(8p+13)^2\)
- \(100a^{10}-180a^5+81=(10a^5-9)^2\)
- \(36x^{10}-60x^5+25=(6x^5-5)^2\)
- \(y^2-30y+225=(y-15)^2\)
- \(p^2-14p+49=(p-7)^2\)
- \(16q^{4}+56q^2s+49s^2=(4q^2+7s)^2\)
- \(b^{10}-25x^2=(b^5+5x)(b^5-5x)\)
- \(b^2-4b+4=(b-2)^2\)