Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-196\)
2. \(144a^{10}-264a^5+121\)
3. \(256p^2-25\)
4. \(144a^{4}-264a^2s+121s^2\)
5. \(64p^2+208p+169\)
6. \(100a^{10}-180a^5+81\)
7. \(36x^{10}-60x^5+25\)
8. \(y^2-30y+225\)
9. \(p^2-14p+49\)
10. \(16q^{4}+56q^2s+49s^2\)
11. \(b^{10}-25x^2\)
12. \(b^2-4b+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-196=(p+14)(p-14)\)
2. \(144a^{10}-264a^5+121=(12a^5-11)^2\)
3. \(256p^2-25=(16p+5)(16p-5)\)
4. \(144a^{4}-264a^2s+121s^2=(12a^2-11s)^2\)
5. \(64p^2+208p+169=(8p+13)^2\)
6. \(100a^{10}-180a^5+81=(10a^5-9)^2\)
7. \(36x^{10}-60x^5+25=(6x^5-5)^2\)
8. \(y^2-30y+225=(y-15)^2\)
9. \(p^2-14p+49=(p-7)^2\)
10. \(16q^{4}+56q^2s+49s^2=(4q^2+7s)^2\)
11. \(b^{10}-25x^2=(b^5+5x)(b^5-5x)\)
12. \(b^2-4b+4=(b-2)^2\)