Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16b^{4}+40b^2q+25q^2\)
2. \(y^2+6y+9\)
3. \(16-25p^{8}\)
4. \(36b^2+132b+121\)
5. \(16q^{8}+120q^4+225\)
6. \(49a^2-169\)
7. \(256p^{10}+160p^5x+25x^2\)
8. \(16b^{10}+8b^5y+1y^2\)
9. \(225x^2-121\)
10. \(4x^{4}+4x^2+1\)
11. \(121p^{8}+66p^4x+9x^2\)
12. \(49b^{8}+84b^4s+36s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16b^{4}+40b^2q+25q^2=(4b^2+5q)^2\)
2. \(y^2+6y+9=(y+3)^2\)
3. \(16-25p^{8}=(4-5p^4)(4+5p^4)\)
4. \(36b^2+132b+121=(6b+11)^2\)
5. \(16q^{8}+120q^4+225=(4q^4+15)^2\)
6. \(49a^2-169=(7a+13)(7a-13)\)
7. \(256p^{10}+160p^5x+25x^2=(16p^5+5x)^2\)
8. \(16b^{10}+8b^5y+1y^2=(4b^5+y)^2\)
9. \(225x^2-121=(15x+11)(15x-11)\)
10. \(4x^{4}+4x^2+1=(2x^2+1)^2\)
11. \(121p^{8}+66p^4x+9x^2=(11p^4+3x)^2\)
12. \(49b^{8}+84b^4s+36s^2=(7b^4+6s)^2\)