Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16x^2-9\)
2. \(25y^2-144x^{6}\)
3. \(256a^2-480a+225\)
4. \(49a^{4}+140a^2+100\)
5. \(225a^{6}+210a^3s+49s^2\)
6. \(225s^{10}-60s^5+4\)
7. \(-100y^2+49\)
8. \(9-196q^{6}\)
9. \(-64y^2+169\)
10. \(121s^{6}+44s^3+4\)
11. \(225x^2-60x+4\)
12. \(81p^{8}-196y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16x^2-9=(4x+3)(4x-3)\)
2. \(25y^2-144x^{6}=(5y-12x^3)(5y+12x^3)\)
3. \(256a^2-480a+225=(16a-15)^2\)
4. \(49a^{4}+140a^2+100=(7a^2+10)^2\)
5. \(225a^{6}+210a^3s+49s^2=(15a^3+7s)^2\)
6. \(225s^{10}-60s^5+4=(15s^5-2)^2\)
7. \(-100y^2+49=(7-10y)(7+10y)\)
8. \(9-196q^{6}=(3-14q^3)(3+14q^3)\)
9. \(-64y^2+169=(13-8y)(13+8y)\)
10. \(121s^{6}+44s^3+4=(11s^3+2)^2\)
11. \(225x^2-60x+4=(15x-2)^2\)
12. \(81p^{8}-196y^2=(9p^4+14y)(9p^4-14y)\)