Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-30p+225\)
2. \(q^2-121\)
3. \(81s^{10}-234s^5+169\)
4. \(225y^{16}-4\)
5. \(169a^{8}-104a^4x+16x^2\)
6. \(-121p^2+144\)
7. \(p^2-16\)
8. \(16q^2+72q+81\)
9. \(196a^2+28a+1\)
10. \(25y^2-36x^{8}\)
11. \(a^2-4a+4\)
12. \(4y^{6}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-30p+225=(p-15)^2\)
2. \(q^2-121=(q+11)(q-11)\)
3. \(81s^{10}-234s^5+169=(9s^5-13)^2\)
4. \(225y^{16}-4=(15y^8+2)(15y^8-2)\)
5. \(169a^{8}-104a^4x+16x^2=(13a^4-4x)^2\)
6. \(-121p^2+144=(12-11p)(12+11p)\)
7. \(p^2-16=(p-4)(p+4)\)
8. \(16q^2+72q+81=(4q+9)^2\)
9. \(196a^2+28a+1=(14a+1)^2\)
10. \(25y^2-36x^{8}=(5y-6x^4)(5y+6x^4)\)
11. \(a^2-4a+4=(a-2)^2\)
12. \(4y^{6}-49=(2y^3+7)(2y^3-7)\)