Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16q^{4}-88q^2+121\)
2. \(9y^2+6y+1\)
3. \(a^2-9\)
4. \(196a^2+28a+1\)
5. \(y^2+2y+1\)
6. \(256b^{8}-81\)
7. \(144b^{10}+24b^5+1\)
8. \(x^2+4x+4\)
9. \(144b^{6}+24b^3p+1p^2\)
10. \(x^2-144\)
11. \(9p^{8}-169\)
12. \(64a^{10}+16a^5y+1y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16q^{4}-88q^2+121=(4q^2-11)^2\)
2. \(9y^2+6y+1=(3y+1)^2\)
3. \(a^2-9=(a-3)(a+3)\)
4. \(196a^2+28a+1=(14a+1)^2\)
5. \(y^2+2y+1=(y+1)^2\)
6. \(256b^{8}-81=(16b^4+9)(16b^4-9)\)
7. \(144b^{10}+24b^5+1=(12b^5+1)^2\)
8. \(x^2+4x+4=(x+2)^2\)
9. \(144b^{6}+24b^3p+1p^2=(12b^3+p)^2\)
10. \(x^2-144=(x-12)(x+12)\)
11. \(9p^{8}-169=(3p^4+13)(3p^4-13)\)
12. \(64a^{10}+16a^5y+1y^2=(8a^5+y)^2\)