Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25s^{6}+10s^3y+1y^2\)
2. \(81q^{4}-72q^2+16\)
3. \(-225a^2+49\)
4. \(49a^{6}-64x^2\)
5. \(16x^2-88x+121\)
6. \(a^2-14a+49\)
7. \(121q^{6}-154q^3+49\)
8. \(s^2-6s+9\)
9. \(225q^{8}+210q^4+49\)
10. \(169s^2+78s+9\)
11. \(16-169q^{16}\)
12. \(a^2+26a+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25s^{6}+10s^3y+1y^2=(5s^3+y)^2\)
2. \(81q^{4}-72q^2+16=(9q^2-4)^2\)
3. \(-225a^2+49=(7-15a)(7+15a)\)
4. \(49a^{6}-64x^2=(7a^3+8x)(7a^3-8x)\)
5. \(16x^2-88x+121=(4x-11)^2\)
6. \(a^2-14a+49=(a-7)^2\)
7. \(121q^{6}-154q^3+49=(11q^3-7)^2\)
8. \(s^2-6s+9=(s-3)^2\)
9. \(225q^{8}+210q^4+49=(15q^4+7)^2\)
10. \(169s^2+78s+9=(13s+3)^2\)
11. \(16-169q^{16}=(4-13q^8)(4+13q^8)\)
12. \(a^2+26a+169=(a+13)^2\)