Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256a^{4}+352a^2q+121q^2\)
2. \(p^2-121\)
3. \(81a^{16}-4s^2\)
4. \(x^2-30x+225\)
5. \(9-100y^{6}\)
6. \(36p^{4}+156p^2x+169x^2\)
7. \(a^2-14a+49\)
8. \(81q^{8}+36q^4s+4s^2\)
9. \(169a^{8}+26a^4b+1b^2\)
10. \(64s^2-225\)
11. \(225x^{6}+210x^3y+49y^2\)
12. \(225x^2-60x+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256a^{4}+352a^2q+121q^2=(16a^2+11q)^2\)
2. \(p^2-121=(p-11)(p+11)\)
3. \(81a^{16}-4s^2=(9a^8+2s)(9a^8-2s)\)
4. \(x^2-30x+225=(x-15)^2\)
5. \(9-100y^{6}=(3-10y^3)(3+10y^3)\)
6. \(36p^{4}+156p^2x+169x^2=(6p^2+13x)^2\)
7. \(a^2-14a+49=(a-7)^2\)
8. \(81q^{8}+36q^4s+4s^2=(9q^4+2s)^2\)
9. \(169a^{8}+26a^4b+1b^2=(13a^4+b)^2\)
10. \(64s^2-225=(8s+15)(8s-15)\)
11. \(225x^{6}+210x^3y+49y^2=(15x^3+7y)^2\)
12. \(225x^2-60x+4=(15x-2)^2\)