Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2+2b+1\)
2. \(81s^{14}-196\)
3. \(-25y^2+4\)
4. \(b^2-121\)
5. \(256a^2+32a+1\)
6. \(256a^{10}+352a^5+121\)
7. \(25x^2-196q^{8}\)
8. \(9a^2-169\)
9. \(196p^{12}-121q^2\)
10. \(25s^2-36b^{14}\)
11. \(169b^2+234b+81\)
12. \(x^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2+2b+1=(b+1)^2\)
2. \(81s^{14}-196=(9s^7+14)(9s^7-14)\)
3. \(-25y^2+4=(2-5y)(2+5y)\)
4. \(b^2-121=(b-11)(b+11)\)
5. \(256a^2+32a+1=(16a+1)^2\)
6. \(256a^{10}+352a^5+121=(16a^5+11)^2\)
7. \(25x^2-196q^{8}=(5x-14q^4)(5x+14q^4)\)
8. \(9a^2-169=(3a+13)(3a-13)\)
9. \(196p^{12}-121q^2=(14p^6+11q)(14p^6-11q)\)
10. \(25s^2-36b^{14}=(5s-6b^7)(5s+6b^7)\)
11. \(169b^2+234b+81=(13b+9)^2\)
12. \(x^2-36=(x-6)(x+6)\)