Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49p^2+42p+9\)
2. \(196x^2-25p^{8}\)
3. \(196b^2+252b+81\)
4. \(4p^{10}+20p^5+25\)
5. \(s^2-1\)
6. \(25x^2-36\)
7. \(y^2-8y+16\)
8. \(121-169x^{4}\)
9. \(81b^{8}-36b^4s+4s^2\)
10. \(64q^2-112q+49\)
11. \(225b^{6}+30b^3+1\)
12. \(b^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49p^2+42p+9=(7p+3)^2\)
2. \(196x^2-25p^{8}=(14x-5p^4)(14x+5p^4)\)
3. \(196b^2+252b+81=(14b+9)^2\)
4. \(4p^{10}+20p^5+25=(2p^5+5)^2\)
5. \(s^2-1=(s+1)(s-1)\)
6. \(25x^2-36=(5x+6)(5x-6)\)
7. \(y^2-8y+16=(y-4)^2\)
8. \(121-169x^{4}=(11-13x^2)(11+13x^2)\)
9. \(81b^{8}-36b^4s+4s^2=(9b^4-2s)^2\)
10. \(64q^2-112q+49=(8q-7)^2\)
11. \(225b^{6}+30b^3+1=(15b^3+1)^2\)
12. \(b^2-100=(b-10)(b+10)\)