Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+28a+196\)
2. \(81b^2-196\)
3. \(-9p^2+169\)
4. \(121x^{8}+44x^4+4\)
5. \(100x^{10}+20x^5+1\)
6. \(x^2-26x+169\)
7. \(16b^{16}-49x^2\)
8. \(y^2+24y+144\)
9. \(s^2-100\)
10. \(196b^{8}+28b^4+1\)
11. \(169p^2-196a^{14}\)
12. \(a^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+28a+196=(a+14)^2\)
2. \(81b^2-196=(9b+14)(9b-14)\)
3. \(-9p^2+169=(13-3p)(13+3p)\)
4. \(121x^{8}+44x^4+4=(11x^4+2)^2\)
5. \(100x^{10}+20x^5+1=(10x^5+1)^2\)
6. \(x^2-26x+169=(x-13)^2\)
7. \(16b^{16}-49x^2=(4b^8+7x)(4b^8-7x)\)
8. \(y^2+24y+144=(y+12)^2\)
9. \(s^2-100=(s-10)(s+10)\)
10. \(196b^{8}+28b^4+1=(14b^4+1)^2\)
11. \(169p^2-196a^{14}=(13p-14a^7)(13p+14a^7)\)
12. \(a^2-49=(a+7)(a-7)\)