Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16s^2-49\)
2. \(144p^{8}+24p^4s+1s^2\)
3. \(144a^2-264a+121\)
4. \(p^2-8p+16\)
5. \(x^2-6x+9\)
6. \(9y^2-4x^{12}\)
7. \(100a^{8}+60a^4y+9y^2\)
8. \(a^2-28a+196\)
9. \(64q^{6}+112q^3+49\)
10. \(25y^{6}+20y^3+4\)
11. \(-64x^2+1\)
12. \(100x^{10}-9y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16s^2-49=(4s+7)(4s-7)\)
2. \(144p^{8}+24p^4s+1s^2=(12p^4+s)^2\)
3. \(144a^2-264a+121=(12a-11)^2\)
4. \(p^2-8p+16=(p-4)^2\)
5. \(x^2-6x+9=(x-3)^2\)
6. \(9y^2-4x^{12}=(3y-2x^6)(3y+2x^6)\)
7. \(100a^{8}+60a^4y+9y^2=(10a^4+3y)^2\)
8. \(a^2-28a+196=(a-14)^2\)
9. \(64q^{6}+112q^3+49=(8q^3+7)^2\)
10. \(25y^{6}+20y^3+4=(5y^3+2)^2\)
11. \(-64x^2+1=(1-8x)(1+8x)\)
12. \(100x^{10}-9y^2=(10x^5+3y)(10x^5-3y)\)