Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-144\)
2. \(144p^2+120p+25\)
3. \(25y^2-81s^{16}\)
4. \(100a^{6}-60a^3b+9b^2\)
5. \(49q^{6}+140q^3s+100s^2\)
6. \(100y^2-49\)
7. \(x^2+4x+4\)
8. \(64y^{6}-80y^3+25\)
9. \(y^2-64\)
10. \(36q^2-25\)
11. \(49y^2-16s^{4}\)
12. \(a^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-144=(a+12)(a-12)\)
2. \(144p^2+120p+25=(12p+5)^2\)
3. \(25y^2-81s^{16}=(5y-9s^8)(5y+9s^8)\)
4. \(100a^{6}-60a^3b+9b^2=(10a^3-3b)^2\)
5. \(49q^{6}+140q^3s+100s^2=(7q^3+10s)^2\)
6. \(100y^2-49=(10y+7)(10y-7)\)
7. \(x^2+4x+4=(x+2)^2\)
8. \(64y^{6}-80y^3+25=(8y^3-5)^2\)
9. \(y^2-64=(y-8)(y+8)\)
10. \(36q^2-25=(6q+5)(6q-5)\)
11. \(49y^2-16s^{4}=(7y-4s^2)(7y+4s^2)\)
12. \(a^2-169=(a+13)(a-13)\)