Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-196\)
2. \(225p^2-169\)
3. \(36a^{10}+84a^5q+49q^2\)
4. \(y^2+4y+4\)
5. \(p^2-20p+100\)
6. \(256p^{4}-25\)
7. \(a^2-4a+4\)
8. \(36q^{10}+156q^5+169\)
9. \(225y^2-210y+49\)
10. \(9s^{6}-169x^2\)
11. \(9x^2+84x+196\)
12. \(16q^{6}-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-196=(b+14)(b-14)\)
2. \(225p^2-169=(15p+13)(15p-13)\)
3. \(36a^{10}+84a^5q+49q^2=(6a^5+7q)^2\)
4. \(y^2+4y+4=(y+2)^2\)
5. \(p^2-20p+100=(p-10)^2\)
6. \(256p^{4}-25=(16p^2+5)(16p^2-5)\)
7. \(a^2-4a+4=(a-2)^2\)
8. \(36q^{10}+156q^5+169=(6q^5+13)^2\)
9. \(225y^2-210y+49=(15y-7)^2\)
10. \(9s^{6}-169x^2=(3s^3+13x)(3s^3-13x)\)
11. \(9x^2+84x+196=(3x+14)^2\)
12. \(16q^{6}-49=(4q^3+7)(4q^3-7)\)