Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^{4}-60s^2+4\)
2. \(36p^2+84p+49\)
3. \(9x^2-256q^{12}\)
4. \(25q^{16}-4y^2\)
5. \(81x^2+198x+121\)
6. \(169x^2-196\)
7. \(-9y^2+1\)
8. \(q^2-169\)
9. \(x^2-49\)
10. \(p^2+24p+144\)
11. \(b^2-81\)
12. \(x^2-14x+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^{4}-60s^2+4=(15s^2-2)^2\)
2. \(36p^2+84p+49=(6p+7)^2\)
3. \(9x^2-256q^{12}=(3x-16q^6)(3x+16q^6)\)
4. \(25q^{16}-4y^2=(5q^8+2y)(5q^8-2y)\)
5. \(81x^2+198x+121=(9x+11)^2\)
6. \(169x^2-196=(13x+14)(13x-14)\)
7. \(-9y^2+1=(1-3y)(1+3y)\)
8. \(q^2-169=(q-13)(q+13)\)
9. \(x^2-49=(x+7)(x-7)\)
10. \(p^2+24p+144=(p+12)^2\)
11. \(b^2-81=(b+9)(b-9)\)
12. \(x^2-14x+49=(x-7)^2\)