Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-2s+1\)
2. \(25b^{6}+80b^3x+64x^2\)
3. \(s^2-49\)
4. \(25y^2-16\)
5. \(81a^2-234a+169\)
6. \(s^2-8s+16\)
7. \(64q^{16}-1\)
8. \(9x^2-256p^{4}\)
9. \(25x^{10}-40x^5+16\)
10. \(36p^{6}-132p^3y+121y^2\)
11. \(25b^{10}+10b^5s+1s^2\)
12. \(64s^{8}+176s^4y+121y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-2s+1=(s-1)^2\)
2. \(25b^{6}+80b^3x+64x^2=(5b^3+8x)^2\)
3. \(s^2-49=(s-7)(s+7)\)
4. \(25y^2-16=(5y+4)(5y-4)\)
5. \(81a^2-234a+169=(9a-13)^2\)
6. \(s^2-8s+16=(s-4)^2\)
7. \(64q^{16}-1=(8q^8+1)(8q^8-1)\)
8. \(9x^2-256p^{4}=(3x-16p^2)(3x+16p^2)\)
9. \(25x^{10}-40x^5+16=(5x^5-4)^2\)
10. \(36p^{6}-132p^3y+121y^2=(6p^3-11y)^2\)
11. \(25b^{10}+10b^5s+1s^2=(5b^5+s)^2\)
12. \(64s^{8}+176s^4y+121y^2=(8s^4+11y)^2\)