Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16-9b^{4}\)
2. \(169-64y^{4}\)
3. \(121x^{4}+22x^2+1\)
4. \(121p^2-4\)
5. \(b^2-4b+4\)
6. \(x^2-196\)
7. \(1-36x^{6}\)
8. \(4s^{4}+4s^2+1\)
9. \(4s^2-225a^{8}\)
10. \(9a^{4}+60a^2y+100y^2\)
11. \(49b^{6}+42b^3s+9s^2\)
12. \(100y^2+140y+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16-9b^{4}=(4-3b^2)(4+3b^2)\)
2. \(169-64y^{4}=(13-8y^2)(13+8y^2)\)
3. \(121x^{4}+22x^2+1=(11x^2+1)^2\)
4. \(121p^2-4=(11p+2)(11p-2)\)
5. \(b^2-4b+4=(b-2)^2\)
6. \(x^2-196=(x-14)(x+14)\)
7. \(1-36x^{6}=(1-6x^3)(1+6x^3)\)
8. \(4s^{4}+4s^2+1=(2s^2+1)^2\)
9. \(4s^2-225a^{8}=(2s-15a^4)(2s+15a^4)\)
10. \(9a^{4}+60a^2y+100y^2=(3a^2+10y)^2\)
11. \(49b^{6}+42b^3s+9s^2=(7b^3+3s)^2\)
12. \(100y^2+140y+49=(10y+7)^2\)