Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-28y+196\)
2. \(100x^{8}-9\)
3. \(x^2-14x+49\)
4. \(36s^2-49b^{6}\)
5. \(4a^{8}-9x^2\)
6. \(100a^{8}+60a^4+9\)
7. \(16p^{6}+104p^3y+169y^2\)
8. \(y^2-81\)
9. \(25y^2-120y+144\)
10. \(169b^{8}-64x^2\)
11. \(100a^{10}-180a^5s+81s^2\)
12. \(169s^2+390s+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-28y+196=(y-14)^2\)
2. \(100x^{8}-9=(10x^4+3)(10x^4-3)\)
3. \(x^2-14x+49=(x-7)^2\)
4. \(36s^2-49b^{6}=(6s-7b^3)(6s+7b^3)\)
5. \(4a^{8}-9x^2=(2a^4+3x)(2a^4-3x)\)
6. \(100a^{8}+60a^4+9=(10a^4+3)^2\)
7. \(16p^{6}+104p^3y+169y^2=(4p^3+13y)^2\)
8. \(y^2-81=(y-9)(y+9)\)
9. \(25y^2-120y+144=(5y-12)^2\)
10. \(169b^{8}-64x^2=(13b^4+8x)(13b^4-8x)\)
11. \(100a^{10}-180a^5s+81s^2=(10a^5-9s)^2\)
12. \(169s^2+390s+225=(13s+15)^2\)