Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49p^{10}-42p^5y+9y^2\)
2. \(-9a^2+4\)
3. \(36a^{6}-132a^3+121\)
4. \(-121y^2+196\)
5. \(9p^2-84p+196\)
6. \(x^2-121\)
7. \(36s^{6}+12s^3y+1y^2\)
8. \(b^2-1\)
9. \(121p^{10}+264p^5+144\)
10. \(49q^2-9a^{8}\)
11. \(144q^{10}-168q^5x+49x^2\)
12. \(81s^2-100a^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49p^{10}-42p^5y+9y^2=(7p^5-3y)^2\)
2. \(-9a^2+4=(2-3a)(2+3a)\)
3. \(36a^{6}-132a^3+121=(6a^3-11)^2\)
4. \(-121y^2+196=(14-11y)(14+11y)\)
5. \(9p^2-84p+196=(3p-14)^2\)
6. \(x^2-121=(x+11)(x-11)\)
7. \(36s^{6}+12s^3y+1y^2=(6s^3+y)^2\)
8. \(b^2-1=(b+1)(b-1)\)
9. \(121p^{10}+264p^5+144=(11p^5+12)^2\)
10. \(49q^2-9a^{8}=(7q-3a^4)(7q+3a^4)\)
11. \(144q^{10}-168q^5x+49x^2=(12q^5-7x)^2\)
12. \(81s^2-100a^{6}=(9s-10a^3)(9s+10a^3)\)