Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169b^{4}+26b^2y+1y^2\)
2. \(256p^{4}+32p^2s+1s^2\)
3. \(64q^{6}+16q^3+1\)
4. \(36s^2+12s+1\)
5. \(16y^2-24y+9\)
6. \(-121q^2+4\)
7. \(100q^{8}-60q^4s+9s^2\)
8. \(-196s^2+9\)
9. \(36s^{4}-60s^2x+25x^2\)
10. \(x^2+2x+1\)
11. \(256s^{10}-96s^5+9\)
12. \(100q^2+20q+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169b^{4}+26b^2y+1y^2=(13b^2+y)^2\)
2. \(256p^{4}+32p^2s+1s^2=(16p^2+s)^2\)
3. \(64q^{6}+16q^3+1=(8q^3+1)^2\)
4. \(36s^2+12s+1=(6s+1)^2\)
5. \(16y^2-24y+9=(4y-3)^2\)
6. \(-121q^2+4=(2-11q)(2+11q)\)
7. \(100q^{8}-60q^4s+9s^2=(10q^4-3s)^2\)
8. \(-196s^2+9=(3-14s)(3+14s)\)
9. \(36s^{4}-60s^2x+25x^2=(6s^2-5x)^2\)
10. \(x^2+2x+1=(x+1)^2\)
11. \(256s^{10}-96s^5+9=(16s^5-3)^2\)
12. \(100q^2+20q+1=(10q+1)^2\)