Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100q^{4}+180q^2s+81s^2\)
2. \(169s^{4}-1\)
3. \(225x^2-196\)
4. \(a^2-64\)
5. \(-25p^2+36\)
6. \(x^2+26x+169\)
7. \(49q^{6}+14q^3x+1x^2\)
8. \(-36b^2+49\)
9. \(a^2-4\)
10. \(49x^2-42x+9\)
11. \(49a^{10}+210a^5q+225q^2\)
12. \(4b^{8}+4b^4s+1s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100q^{4}+180q^2s+81s^2=(10q^2+9s)^2\)
2. \(169s^{4}-1=(13s^2+1)(13s^2-1)\)
3. \(225x^2-196=(15x+14)(15x-14)\)
4. \(a^2-64=(a+8)(a-8)\)
5. \(-25p^2+36=(6-5p)(6+5p)\)
6. \(x^2+26x+169=(x+13)^2\)
7. \(49q^{6}+14q^3x+1x^2=(7q^3+x)^2\)
8. \(-36b^2+49=(7-6b)(7+6b)\)
9. \(a^2-4=(a+2)(a-2)\)
10. \(49x^2-42x+9=(7x-3)^2\)
11. \(49a^{10}+210a^5q+225q^2=(7a^5+15q)^2\)
12. \(4b^{8}+4b^4s+1s^2=(2b^4+s)^2\)