Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16a^{16}-81\)
2. \(64a^{4}-9b^2\)
3. \(x^2-9\)
4. \(p^2-49\)
5. \(4b^2-25a^{6}\)
6. \(64s^2-112s+49\)
7. \(16a^{10}+24a^5q+9q^2\)
8. \(196x^{6}+364x^3+169\)
9. \(b^2-100\)
10. \(9x^2-100s^{14}\)
11. \(25x^2-20x+4\)
12. \(4a^{6}+4a^3y+1y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16a^{16}-81=(4a^8+9)(4a^8-9)\)
2. \(64a^{4}-9b^2=(8a^2+3b)(8a^2-3b)\)
3. \(x^2-9=(x+3)(x-3)\)
4. \(p^2-49=(p+7)(p-7)\)
5. \(4b^2-25a^{6}=(2b-5a^3)(2b+5a^3)\)
6. \(64s^2-112s+49=(8s-7)^2\)
7. \(16a^{10}+24a^5q+9q^2=(4a^5+3q)^2\)
8. \(196x^{6}+364x^3+169=(14x^3+13)^2\)
9. \(b^2-100=(b-10)(b+10)\)
10. \(9x^2-100s^{14}=(3x-10s^7)(3x+10s^7)\)
11. \(25x^2-20x+4=(5x-2)^2\)
12. \(4a^{6}+4a^3y+1y^2=(2a^3+y)^2\)