Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64x^2+225\)
2. \(25-36q^{4}\)
3. \(49x^{10}-182x^5+169\)
4. \(-16x^2+25\)
5. \(x^2-8x+16\)
6. \(25b^{10}-64y^2\)
7. \(49y^2-126y+81\)
8. \(a^2-64\)
9. \(36x^{4}-132x^2+121\)
10. \(100q^2-60q+9\)
11. \(81y^{4}+144y^2+64\)
12. \(64a^{6}+112a^3+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64x^2+225=(15-8x)(15+8x)\)
2. \(25-36q^{4}=(5-6q^2)(5+6q^2)\)
3. \(49x^{10}-182x^5+169=(7x^5-13)^2\)
4. \(-16x^2+25=(5-4x)(5+4x)\)
5. \(x^2-8x+16=(x-4)^2\)
6. \(25b^{10}-64y^2=(5b^5+8y)(5b^5-8y)\)
7. \(49y^2-126y+81=(7y-9)^2\)
8. \(a^2-64=(a+8)(a-8)\)
9. \(36x^{4}-132x^2+121=(6x^2-11)^2\)
10. \(100q^2-60q+9=(10q-3)^2\)
11. \(81y^{4}+144y^2+64=(9y^2+8)^2\)
12. \(64a^{6}+112a^3+49=(8a^3+7)^2\)