Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-25p^2+9\)
2. \(64b^{4}+144b^2x+81x^2\)
3. \(p^2+14p+49\)
4. \(64q^{16}-9\)
5. \(49a^{8}-121p^2\)
6. \(49y^{8}-42y^4+9\)
7. \(4y^{6}+4y^3+1\)
8. \(36y^2-132y+121\)
9. \(4b^{4}+4b^2y+1y^2\)
10. \(169a^2-36\)
11. \(49s^2+14s+1\)
12. \(16x^{16}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-25p^2+9=(3-5p)(3+5p)\)
2. \(64b^{4}+144b^2x+81x^2=(8b^2+9x)^2\)
3. \(p^2+14p+49=(p+7)^2\)
4. \(64q^{16}-9=(8q^8+3)(8q^8-3)\)
5. \(49a^{8}-121p^2=(7a^4+11p)(7a^4-11p)\)
6. \(49y^{8}-42y^4+9=(7y^4-3)^2\)
7. \(4y^{6}+4y^3+1=(2y^3+1)^2\)
8. \(36y^2-132y+121=(6y-11)^2\)
9. \(4b^{4}+4b^2y+1y^2=(2b^2+y)^2\)
10. \(169a^2-36=(13a+6)(13a-6)\)
11. \(49s^2+14s+1=(7s+1)^2\)
12. \(16x^{16}-1=(4x^8+1)(4x^8-1)\)