Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16b^{6}+56b^3s+49s^2\)
2. \(16s^2-24s+9\)
3. \(169-144y^{16}\)
4. \(196a^{8}-25b^2\)
5. \(121p^{10}-44p^5x+4x^2\)
6. \(64y^2-9q^{16}\)
7. \(64q^{4}-240q^2+225\)
8. \(49x^{8}+154x^4+121\)
9. \(9x^{10}-1\)
10. \(4b^2-81a^{16}\)
11. \(121p^{8}+22p^4x+1x^2\)
12. \(81s^{6}-25y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16b^{6}+56b^3s+49s^2=(4b^3+7s)^2\)
2. \(16s^2-24s+9=(4s-3)^2\)
3. \(169-144y^{16}=(13-12y^8)(13+12y^8)\)
4. \(196a^{8}-25b^2=(14a^4+5b)(14a^4-5b)\)
5. \(121p^{10}-44p^5x+4x^2=(11p^5-2x)^2\)
6. \(64y^2-9q^{16}=(8y-3q^8)(8y+3q^8)\)
7. \(64q^{4}-240q^2+225=(8q^2-15)^2\)
8. \(49x^{8}+154x^4+121=(7x^4+11)^2\)
9. \(9x^{10}-1=(3x^5+1)(3x^5-1)\)
10. \(4b^2-81a^{16}=(2b-9a^8)(2b+9a^8)\)
11. \(121p^{8}+22p^4x+1x^2=(11p^4+x)^2\)
12. \(81s^{6}-25y^2=(9s^3+5y)(9s^3-5y)\)