Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169p^2+26p+1\)
2. \(a^2-64\)
3. \(196a^2-225\)
4. \(64y^2+112y+49\)
5. \(4y^{4}+28y^2+49\)
6. \(q^2-196\)
7. \(196s^{14}-121\)
8. \(196p^{10}+28p^5s+1s^2\)
9. \(9y^{4}-16\)
10. \(q^2+24q+144\)
11. \(25y^2-36\)
12. \(x^2+12x+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169p^2+26p+1=(13p+1)^2\)
2. \(a^2-64=(a+8)(a-8)\)
3. \(196a^2-225=(14a+15)(14a-15)\)
4. \(64y^2+112y+49=(8y+7)^2\)
5. \(4y^{4}+28y^2+49=(2y^2+7)^2\)
6. \(q^2-196=(q+14)(q-14)\)
7. \(196s^{14}-121=(14s^7+11)(14s^7-11)\)
8. \(196p^{10}+28p^5s+1s^2=(14p^5+s)^2\)
9. \(9y^{4}-16=(3y^2+4)(3y^2-4)\)
10. \(q^2+24q+144=(q+12)^2\)
11. \(25y^2-36=(5y+6)(5y-6)\)
12. \(x^2+12x+36=(x+6)^2\)