Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169-225s^{10}\)
2. \(64q^2-112q+49\)
3. \(x^2-4\)
4. \(y^2-196\)
5. \(121a^{4}+308a^2q+196q^2\)
6. \(256a^{16}-169q^2\)
7. \(x^2-25\)
8. \(s^2-100\)
9. \(169b^{14}-9q^2\)
10. \(64x^2+16x+1\)
11. \(p^2-2p+1\)
12. \(b^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169-225s^{10}=(13-15s^5)(13+15s^5)\)
2. \(64q^2-112q+49=(8q-7)^2\)
3. \(x^2-4=(x+2)(x-2)\)
4. \(y^2-196=(y-14)(y+14)\)
5. \(121a^{4}+308a^2q+196q^2=(11a^2+14q)^2\)
6. \(256a^{16}-169q^2=(16a^8+13q)(16a^8-13q)\)
7. \(x^2-25=(x+5)(x-5)\)
8. \(s^2-100=(s+10)(s-10)\)
9. \(169b^{14}-9q^2=(13b^7+3q)(13b^7-3q)\)
10. \(64x^2+16x+1=(8x+1)^2\)
11. \(p^2-2p+1=(p-1)^2\)
12. \(b^2-36=(b-6)(b+6)\)