Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-4s^2+169\)
2. \(a^2+20a+100\)
3. \(196x^{10}+84x^5+9\)
4. \(q^2-144\)
5. \(64b^{6}-9y^2\)
6. \(9p^{10}+78p^5q+169q^2\)
7. \(16y^{8}-9\)
8. \(y^2-81\)
9. \(b^2+12b+36\)
10. \(16a^{8}-56a^4p+49p^2\)
11. \(225s^{10}+420s^5+196\)
12. \(9p^{8}-48p^4x+64x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-4s^2+169=(13-2s)(13+2s)\)
2. \(a^2+20a+100=(a+10)^2\)
3. \(196x^{10}+84x^5+9=(14x^5+3)^2\)
4. \(q^2-144=(q-12)(q+12)\)
5. \(64b^{6}-9y^2=(8b^3+3y)(8b^3-3y)\)
6. \(9p^{10}+78p^5q+169q^2=(3p^5+13q)^2\)
7. \(16y^{8}-9=(4y^4+3)(4y^4-3)\)
8. \(y^2-81=(y-9)(y+9)\)
9. \(b^2+12b+36=(b+6)^2\)
10. \(16a^{8}-56a^4p+49p^2=(4a^4-7p)^2\)
11. \(225s^{10}+420s^5+196=(15s^5+14)^2\)
12. \(9p^{8}-48p^4x+64x^2=(3p^4-8x)^2\)