Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+8y+16\)
2. \(100b^{10}+140b^5x+49x^2\)
3. \(x^2-4\)
4. \(x^2-4x+4\)
5. \(225x^2-49p^{16}\)
6. \(x^2-100\)
7. \(36p^{8}-132p^4s+121s^2\)
8. \(169a^{16}-100s^2\)
9. \(169q^{10}+26q^5+1\)
10. \(y^2-49\)
11. \(49b^{10}-84b^5+36\)
12. \(64-49s^{8}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+8y+16=(y+4)^2\)
2. \(100b^{10}+140b^5x+49x^2=(10b^5+7x)^2\)
3. \(x^2-4=(x-2)(x+2)\)
4. \(x^2-4x+4=(x-2)^2\)
5. \(225x^2-49p^{16}=(15x-7p^8)(15x+7p^8)\)
6. \(x^2-100=(x-10)(x+10)\)
7. \(36p^{8}-132p^4s+121s^2=(6p^4-11s)^2\)
8. \(169a^{16}-100s^2=(13a^8+10s)(13a^8-10s)\)
9. \(169q^{10}+26q^5+1=(13q^5+1)^2\)
10. \(y^2-49=(y-7)(y+7)\)
11. \(49b^{10}-84b^5+36=(7b^5-6)^2\)
12. \(64-49s^{8}=(8-7s^4)(8+7s^4)\)