Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-64\)
2. \(q^2-121\)
3. \(81a^2-121\)
4. \(144p^2+168p+49\)
5. \(256s^2-480s+225\)
6. \(49b^2-140b+100\)
7. \(25s^{6}-90s^3x+81x^2\)
8. \(b^2+16b+64\)
9. \(s^2-196\)
10. \(b^2+28b+196\)
11. \(169y^2-25b^{6}\)
12. \(225b^{10}+390b^5x+169x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-64=(p+8)(p-8)\)
2. \(q^2-121=(q+11)(q-11)\)
3. \(81a^2-121=(9a+11)(9a-11)\)
4. \(144p^2+168p+49=(12p+7)^2\)
5. \(256s^2-480s+225=(16s-15)^2\)
6. \(49b^2-140b+100=(7b-10)^2\)
7. \(25s^{6}-90s^3x+81x^2=(5s^3-9x)^2\)
8. \(b^2+16b+64=(b+8)^2\)
9. \(s^2-196=(s+14)(s-14)\)
10. \(b^2+28b+196=(b+14)^2\)
11. \(169y^2-25b^{6}=(13y-5b^3)(13y+5b^3)\)
12. \(225b^{10}+390b^5x+169x^2=(15b^5+13x)^2\)