Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4a^{6}+4a^3x+1x^2\)
2. \(144b^2+264b+121\)
3. \(121q^{14}-36y^2\)
4. \(169-4x^{14}\)
5. \(9x^{4}-12x^2+4\)
6. \(a^2-81\)
7. \(25y^2-121\)
8. \(169p^2-256a^{16}\)
9. \(256s^{4}-25y^2\)
10. \(-169x^2+16\)
11. \(225a^2-60a+4\)
12. \(16s^{10}+24s^5+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4a^{6}+4a^3x+1x^2=(2a^3+x)^2\)
2. \(144b^2+264b+121=(12b+11)^2\)
3. \(121q^{14}-36y^2=(11q^7+6y)(11q^7-6y)\)
4. \(169-4x^{14}=(13-2x^7)(13+2x^7)\)
5. \(9x^{4}-12x^2+4=(3x^2-2)^2\)
6. \(a^2-81=(a-9)(a+9)\)
7. \(25y^2-121=(5y+11)(5y-11)\)
8. \(169p^2-256a^{16}=(13p-16a^8)(13p+16a^8)\)
9. \(256s^{4}-25y^2=(16s^2+5y)(16s^2-5y)\)
10. \(-169x^2+16=(4-13x)(4+13x)\)
11. \(225a^2-60a+4=(15a-2)^2\)
12. \(16s^{10}+24s^5+9=(4s^5+3)^2\)