Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49s^{6}+42s^3+9\)
2. \(y^2+26y+169\)
3. \(b^2-22b+121\)
4. \(100b^{12}-81p^2\)
5. \(-144y^2+25\)
6. \(x^2-81\)
7. \(64a^{4}-80a^2+25\)
8. \(4a^{10}+12a^5x+9x^2\)
9. \(225a^2-16\)
10. \(36s^2-121q^{10}\)
11. \(25-4x^{8}\)
12. \(-81a^2+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49s^{6}+42s^3+9=(7s^3+3)^2\)
2. \(y^2+26y+169=(y+13)^2\)
3. \(b^2-22b+121=(b-11)^2\)
4. \(100b^{12}-81p^2=(10b^6+9p)(10b^6-9p)\)
5. \(-144y^2+25=(5-12y)(5+12y)\)
6. \(x^2-81=(x-9)(x+9)\)
7. \(64a^{4}-80a^2+25=(8a^2-5)^2\)
8. \(4a^{10}+12a^5x+9x^2=(2a^5+3x)^2\)
9. \(225a^2-16=(15a+4)(15a-4)\)
10. \(36s^2-121q^{10}=(6s-11q^5)(6s+11q^5)\)
11. \(25-4x^{8}=(5-2x^4)(5+2x^4)\)
12. \(-81a^2+16=(4-9a)(4+9a)\)