Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169a^{6}-312a^3q+144q^2\)
2. \(9x^2-169\)
3. \(b^2-16\)
4. \(225q^{6}+390q^3+169\)
5. \(36x^{4}+84x^2+49\)
6. \(1-121s^{4}\)
7. \(16a^{6}+8a^3b+1b^2\)
8. \(25x^{12}-81y^2\)
9. \(81x^2-1\)
10. \(9x^2-16p^{8}\)
11. \(81s^{10}-16\)
12. \(36a^2+12a+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169a^{6}-312a^3q+144q^2=(13a^3-12q)^2\)
2. \(9x^2-169=(3x+13)(3x-13)\)
3. \(b^2-16=(b+4)(b-4)\)
4. \(225q^{6}+390q^3+169=(15q^3+13)^2\)
5. \(36x^{4}+84x^2+49=(6x^2+7)^2\)
6. \(1-121s^{4}=(1-11s^2)(1+11s^2)\)
7. \(16a^{6}+8a^3b+1b^2=(4a^3+b)^2\)
8. \(25x^{12}-81y^2=(5x^6+9y)(5x^6-9y)\)
9. \(81x^2-1=(9x+1)(9x-1)\)
10. \(9x^2-16p^{8}=(3x-4p^4)(3x+4p^4)\)
11. \(81s^{10}-16=(9s^5+4)(9s^5-4)\)
12. \(36a^2+12a+1=(6a+1)^2\)