Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64a^{4}-49\)
2. \(y^2-4\)
3. \(256q^2+224q+49\)
4. \(x^2-81\)
5. \(x^2+28x+196\)
6. \(169b^{6}-225x^2\)
7. \(121y^{4}+88y^2+16\)
8. \(-25y^2+9\)
9. \(25q^{8}-40q^4+16\)
10. \(81q^2-144q+64\)
11. \(16y^{4}-56y^2+49\)
12. \(16a^{8}+88a^4b+121b^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64a^{4}-49=(8a^2+7)(8a^2-7)\)
2. \(y^2-4=(y-2)(y+2)\)
3. \(256q^2+224q+49=(16q+7)^2\)
4. \(x^2-81=(x+9)(x-9)\)
5. \(x^2+28x+196=(x+14)^2\)
6. \(169b^{6}-225x^2=(13b^3+15x)(13b^3-15x)\)
7. \(121y^{4}+88y^2+16=(11y^2+4)^2\)
8. \(-25y^2+9=(3-5y)(3+5y)\)
9. \(25q^{8}-40q^4+16=(5q^4-4)^2\)
10. \(81q^2-144q+64=(9q-8)^2\)
11. \(16y^{4}-56y^2+49=(4y^2-7)^2\)
12. \(16a^{8}+88a^4b+121b^2=(4a^4+11b)^2\)