Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225-196x^{10}\)
2. \(x^2-16x+64\)
3. \(9p^2-100a^{14}\)
4. \(64x^{4}+208x^2+169\)
5. \(144x^2+120x+25\)
6. \(169b^{12}-36s^2\)
7. \(p^2+28p+196\)
8. \(196p^{8}+28p^4q+1q^2\)
9. \(144a^2-264a+121\)
10. \(x^2-9\)
11. \(64p^{8}-112p^4x+49x^2\)
12. \(y^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225-196x^{10}=(15-14x^5)(15+14x^5)\)
2. \(x^2-16x+64=(x-8)^2\)
3. \(9p^2-100a^{14}=(3p-10a^7)(3p+10a^7)\)
4. \(64x^{4}+208x^2+169=(8x^2+13)^2\)
5. \(144x^2+120x+25=(12x+5)^2\)
6. \(169b^{12}-36s^2=(13b^6+6s)(13b^6-6s)\)
7. \(p^2+28p+196=(p+14)^2\)
8. \(196p^{8}+28p^4q+1q^2=(14p^4+q)^2\)
9. \(144a^2-264a+121=(12a-11)^2\)
10. \(x^2-9=(x-3)(x+3)\)
11. \(64p^{8}-112p^4x+49x^2=(8p^4-7x)^2\)
12. \(y^2-169=(y+13)(y-13)\)