Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121p^{6}-44p^3+4\)
2. \(-196q^2+9\)
3. \(b^2-28b+196\)
4. \(16q^{10}-56q^5x+49x^2\)
5. \(121a^2-44a+4\)
6. \(y^2-121\)
7. \(36s^{6}-25x^2\)
8. \(p^2-16p+64\)
9. \(-100b^2+1\)
10. \(36p^2-49\)
11. \(x^2-64\)
12. \(36x^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121p^{6}-44p^3+4=(11p^3-2)^2\)
2. \(-196q^2+9=(3-14q)(3+14q)\)
3. \(b^2-28b+196=(b-14)^2\)
4. \(16q^{10}-56q^5x+49x^2=(4q^5-7x)^2\)
5. \(121a^2-44a+4=(11a-2)^2\)
6. \(y^2-121=(y-11)(y+11)\)
7. \(36s^{6}-25x^2=(6s^3+5x)(6s^3-5x)\)
8. \(p^2-16p+64=(p-8)^2\)
9. \(-100b^2+1=(1-10b)(1+10b)\)
10. \(36p^2-49=(6p+7)(6p-7)\)
11. \(x^2-64=(x-8)(x+8)\)
12. \(36x^2-25=(6x+5)(6x-5)\)