Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-26q+169\)
2. \(64x^{4}+16x^2+1\)
3. \(x^2-1\)
4. \(p^2-196\)
5. \(p^2+28p+196\)
6. \(4-169p^{16}\)
7. \(144x^{8}-264x^4y+121y^2\)
8. \(100p^2+180p+81\)
9. \(100a^{4}-81\)
10. \(169a^2-156a+36\)
11. \(16p^{16}-49\)
12. \(100p^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-26q+169=(q-13)^2\)
2. \(64x^{4}+16x^2+1=(8x^2+1)^2\)
3. \(x^2-1=(x-1)(x+1)\)
4. \(p^2-196=(p+14)(p-14)\)
5. \(p^2+28p+196=(p+14)^2\)
6. \(4-169p^{16}=(2-13p^8)(2+13p^8)\)
7. \(144x^{8}-264x^4y+121y^2=(12x^4-11y)^2\)
8. \(100p^2+180p+81=(10p+9)^2\)
9. \(100a^{4}-81=(10a^2+9)(10a^2-9)\)
10. \(169a^2-156a+36=(13a-6)^2\)
11. \(16p^{16}-49=(4p^8+7)(4p^8-7)\)
12. \(100p^2-9=(10p+3)(10p-3)\)