Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^{8}+182a^4+169\)
2. \(256a^{6}+224a^3+49\)
3. \(49x^2-36a^{4}\)
4. \(4b^{4}+4b^2q+1q^2\)
5. \(81q^{14}-4\)
6. \(s^2-18s+81\)
7. \(p^2-121\)
8. \(a^2-144\)
9. \(196p^{4}+252p^2+81\)
10. \(x^2-25\)
11. \(256b^{6}-9y^2\)
12. \(121p^2+154p+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^{8}+182a^4+169=(7a^4+13)^2\)
2. \(256a^{6}+224a^3+49=(16a^3+7)^2\)
3. \(49x^2-36a^{4}=(7x-6a^2)(7x+6a^2)\)
4. \(4b^{4}+4b^2q+1q^2=(2b^2+q)^2\)
5. \(81q^{14}-4=(9q^7+2)(9q^7-2)\)
6. \(s^2-18s+81=(s-9)^2\)
7. \(p^2-121=(p+11)(p-11)\)
8. \(a^2-144=(a-12)(a+12)\)
9. \(196p^{4}+252p^2+81=(14p^2+9)^2\)
10. \(x^2-25=(x+5)(x-5)\)
11. \(256b^{6}-9y^2=(16b^3+3y)(16b^3-3y)\)
12. \(121p^2+154p+49=(11p+7)^2\)