Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+8a+16\)
2. \(b^2+30b+225\)
3. \(49y^2-25\)
4. \(4b^{8}+4b^4+1\)
5. \(16b^2+88b+121\)
6. \(64a^2+48a+9\)
7. \(y^2-225\)
8. \(144b^{10}-264b^5y+121y^2\)
9. \(9x^{4}-48x^2y+64y^2\)
10. \(196s^{10}+364s^5+169\)
11. \(256p^{14}-9\)
12. \(x^2-24x+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+8a+16=(a+4)^2\)
2. \(b^2+30b+225=(b+15)^2\)
3. \(49y^2-25=(7y+5)(7y-5)\)
4. \(4b^{8}+4b^4+1=(2b^4+1)^2\)
5. \(16b^2+88b+121=(4b+11)^2\)
6. \(64a^2+48a+9=(8a+3)^2\)
7. \(y^2-225=(y+15)(y-15)\)
8. \(144b^{10}-264b^5y+121y^2=(12b^5-11y)^2\)
9. \(9x^{4}-48x^2y+64y^2=(3x^2-8y)^2\)
10. \(196s^{10}+364s^5+169=(14s^5+13)^2\)
11. \(256p^{14}-9=(16p^7+3)(16p^7-3)\)
12. \(x^2-24x+144=(x-12)^2\)