Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-169s^2+196\)
2. \(64x^{6}-112x^3y+49y^2\)
3. \(s^2+28s+196\)
4. \(q^2-16\)
5. \(y^2-100\)
6. \(225a^{10}-121\)
7. \(225x^{8}-64y^2\)
8. \(q^2-28q+196\)
9. \(144b^{6}-25\)
10. \(144x^{6}-121y^2\)
11. \(121q^{8}-44q^4x+4x^2\)
12. \(-64y^2+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-169s^2+196=(14-13s)(14+13s)\)
2. \(64x^{6}-112x^3y+49y^2=(8x^3-7y)^2\)
3. \(s^2+28s+196=(s+14)^2\)
4. \(q^2-16=(q+4)(q-4)\)
5. \(y^2-100=(y-10)(y+10)\)
6. \(225a^{10}-121=(15a^5+11)(15a^5-11)\)
7. \(225x^{8}-64y^2=(15x^4+8y)(15x^4-8y)\)
8. \(q^2-28q+196=(q-14)^2\)
9. \(144b^{6}-25=(12b^3+5)(12b^3-5)\)
10. \(144x^{6}-121y^2=(12x^3+11y)(12x^3-11y)\)
11. \(121q^{8}-44q^4x+4x^2=(11q^4-2x)^2\)
12. \(-64y^2+9=(3-8y)(3+8y)\)