Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25y^2-70y+49\)
2. \(196s^2+28s+1\)
3. \(64b^2-25\)
4. \(b^2-30b+225\)
5. \(y^2+6y+9\)
6. \(64q^2-112q+49\)
7. \(b^{16}-225y^2\)
8. \(9p^{8}-1\)
9. \(a^2-9\)
10. \(64y^{6}+240y^3+225\)
11. \(16q^{8}-169\)
12. \(225p^2+390p+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25y^2-70y+49=(5y-7)^2\)
2. \(196s^2+28s+1=(14s+1)^2\)
3. \(64b^2-25=(8b+5)(8b-5)\)
4. \(b^2-30b+225=(b-15)^2\)
5. \(y^2+6y+9=(y+3)^2\)
6. \(64q^2-112q+49=(8q-7)^2\)
7. \(b^{16}-225y^2=(b^8+15y)(b^8-15y)\)
8. \(9p^{8}-1=(3p^4+1)(3p^4-1)\)
9. \(a^2-9=(a+3)(a-3)\)
10. \(64y^{6}+240y^3+225=(8y^3+15)^2\)
11. \(16q^{8}-169=(4q^4+13)(4q^4-13)\)
12. \(225p^2+390p+169=(15p+13)^2\)