Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144a^{8}+24a^4q+1q^2\)
2. \(144y^2-264y+121\)
3. \(b^2-36\)
4. \(x^2-225\)
5. \(36q^{8}+12q^4y+1y^2\)
6. \(s^2-6s+9\)
7. \(b^2-81\)
8. \(49-256a^{12}\)
9. \(25s^{6}+40s^3x+16x^2\)
10. \(36p^{10}-25s^2\)
11. \(b^2-4b+4\)
12. \(b^2+2b+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144a^{8}+24a^4q+1q^2=(12a^4+q)^2\)
2. \(144y^2-264y+121=(12y-11)^2\)
3. \(b^2-36=(b-6)(b+6)\)
4. \(x^2-225=(x+15)(x-15)\)
5. \(36q^{8}+12q^4y+1y^2=(6q^4+y)^2\)
6. \(s^2-6s+9=(s-3)^2\)
7. \(b^2-81=(b+9)(b-9)\)
8. \(49-256a^{12}=(7-16a^6)(7+16a^6)\)
9. \(25s^{6}+40s^3x+16x^2=(5s^3+4x)^2\)
10. \(36p^{10}-25s^2=(6p^5+5s)(6p^5-5s)\)
11. \(b^2-4b+4=(b-2)^2\)
12. \(b^2+2b+1=(b+1)^2\)