Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225x^{4}+30x^2+1\)
2. \(64b^{6}+144b^3x+81x^2\)
3. \(169p^{6}-64\)
4. \(s^2+18s+81\)
5. \(x^2+26x+169\)
6. \(81a^{10}+18a^5x+1x^2\)
7. \(49b^{4}-4q^2\)
8. \(100p^{4}-9s^2\)
9. \(144b^{4}-264b^2q+121q^2\)
10. \(100y^2-49\)
11. \(b^2-4\)
12. \(121a^2-176a+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225x^{4}+30x^2+1=(15x^2+1)^2\)
2. \(64b^{6}+144b^3x+81x^2=(8b^3+9x)^2\)
3. \(169p^{6}-64=(13p^3+8)(13p^3-8)\)
4. \(s^2+18s+81=(s+9)^2\)
5. \(x^2+26x+169=(x+13)^2\)
6. \(81a^{10}+18a^5x+1x^2=(9a^5+x)^2\)
7. \(49b^{4}-4q^2=(7b^2+2q)(7b^2-2q)\)
8. \(100p^{4}-9s^2=(10p^2+3s)(10p^2-3s)\)
9. \(144b^{4}-264b^2q+121q^2=(12b^2-11q)^2\)
10. \(100y^2-49=(10y+7)(10y-7)\)
11. \(b^2-4=(b+2)(b-2)\)
12. \(121a^2-176a+64=(11a-8)^2\)