Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^2-44a+4\)
2. \(b^2+20b+100\)
3. \(x^2-4\)
4. \(225p^{6}-420p^3x+196x^2\)
5. \(25a^2-20a+4\)
6. \(121-225b^{8}\)
7. \(49b^2-4a^{14}\)
8. \(1-49s^{16}\)
9. \(a^2+12a+36\)
10. \(169y^2-196b^{4}\)
11. \(16a^2+104a+169\)
12. \(16x^2-56x+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^2-44a+4=(11a-2)^2\)
2. \(b^2+20b+100=(b+10)^2\)
3. \(x^2-4=(x+2)(x-2)\)
4. \(225p^{6}-420p^3x+196x^2=(15p^3-14x)^2\)
5. \(25a^2-20a+4=(5a-2)^2\)
6. \(121-225b^{8}=(11-15b^4)(11+15b^4)\)
7. \(49b^2-4a^{14}=(7b-2a^7)(7b+2a^7)\)
8. \(1-49s^{16}=(1-7s^8)(1+7s^8)\)
9. \(a^2+12a+36=(a+6)^2\)
10. \(169y^2-196b^{4}=(13y-14b^2)(13y+14b^2)\)
11. \(16a^2+104a+169=(4a+13)^2\)
12. \(16x^2-56x+49=(4x-7)^2\)