Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144x^2-169a^{8}\)
2. \(x^2-144\)
3. \(9s^{6}-4\)
4. \(16p^{4}+56p^2+49\)
5. \(y^2-16y+64\)
6. \(4s^{10}-49\)
7. \(16b^{4}+56b^2s+49s^2\)
8. \(256q^{8}-9\)
9. \(121x^2-49q^{6}\)
10. \(49q^{4}+140q^2+100\)
11. \(b^2-16\)
12. \(49b^{10}+210b^5s+225s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144x^2-169a^{8}=(12x-13a^4)(12x+13a^4)\)
2. \(x^2-144=(x+12)(x-12)\)
3. \(9s^{6}-4=(3s^3+2)(3s^3-2)\)
4. \(16p^{4}+56p^2+49=(4p^2+7)^2\)
5. \(y^2-16y+64=(y-8)^2\)
6. \(4s^{10}-49=(2s^5+7)(2s^5-7)\)
7. \(16b^{4}+56b^2s+49s^2=(4b^2+7s)^2\)
8. \(256q^{8}-9=(16q^4+3)(16q^4-3)\)
9. \(121x^2-49q^{6}=(11x-7q^3)(11x+7q^3)\)
10. \(49q^{4}+140q^2+100=(7q^2+10)^2\)
11. \(b^2-16=(b-4)(b+4)\)
12. \(49b^{10}+210b^5s+225s^2=(7b^5+15s)^2\)