Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-169\)
2. \(64p^2+208p+169\)
3. \(4s^{10}+4s^5+1\)
4. \(81s^{4}+36s^2y+4y^2\)
5. \(64a^{6}+80a^3b+25b^2\)
6. \(y^2-10y+25\)
7. \(q^2-4\)
8. \(x^{14}-49y^2\)
9. \(144a^{8}+120a^4y+25y^2\)
10. \(49q^{16}-169\)
11. \(a^2-36\)
12. \(196x^{4}+308x^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-169=(s+13)(s-13)\)
2. \(64p^2+208p+169=(8p+13)^2\)
3. \(4s^{10}+4s^5+1=(2s^5+1)^2\)
4. \(81s^{4}+36s^2y+4y^2=(9s^2+2y)^2\)
5. \(64a^{6}+80a^3b+25b^2=(8a^3+5b)^2\)
6. \(y^2-10y+25=(y-5)^2\)
7. \(q^2-4=(q+2)(q-2)\)
8. \(x^{14}-49y^2=(x^7+7y)(x^7-7y)\)
9. \(144a^{8}+120a^4y+25y^2=(12a^4+5y)^2\)
10. \(49q^{16}-169=(7q^8+13)(7q^8-13)\)
11. \(a^2-36=(a+6)(a-6)\)
12. \(196x^{4}+308x^2+121=(14x^2+11)^2\)