Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(1-4y^{4}\)
2. \(225y^2+210y+49\)
3. \(196q^2-252q+81\)
4. \(9a^2-121\)
5. \(196p^2+28p+1\)
6. \(s^2-9\)
7. \(x^2+4x+4\)
8. \(25p^{10}-140p^5x+196x^2\)
9. \(s^2+26s+169\)
10. \(a^2+16a+64\)
11. \(25x^{6}+40x^3y+16y^2\)
12. \(q^2-16q+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(1-4y^{4}=(1-2y^2)(1+2y^2)\)
2. \(225y^2+210y+49=(15y+7)^2\)
3. \(196q^2-252q+81=(14q-9)^2\)
4. \(9a^2-121=(3a+11)(3a-11)\)
5. \(196p^2+28p+1=(14p+1)^2\)
6. \(s^2-9=(s-3)(s+3)\)
7. \(x^2+4x+4=(x+2)^2\)
8. \(25p^{10}-140p^5x+196x^2=(5p^5-14x)^2\)
9. \(s^2+26s+169=(s+13)^2\)
10. \(a^2+16a+64=(a+8)^2\)
11. \(25x^{6}+40x^3y+16y^2=(5x^3+4y)^2\)
12. \(q^2-16q+64=(q-8)^2\)