Answers − Factorising x2 − a2
1. Factorise x2 − 4
x2 − 4 | | = x2 − 22 |
| | = (x + 2)(x − 2) |
2. Factorise x2 − 9
x2 − 9 | | = x2 − 32 |
| | = (x + 3)(x − 3) |
3. Factorise x2 − 64
x2 − 64 | | = x2 − 82 |
| | = (x + 8)(x − 8) |
4. Factorise 4x2 − 81
4x2 − 81 | | = (2x)2 − 92 |
| | = (2x + 9)(2x − 9) |
5. Factorise 9x2 − 25
9x2 − 25 | | = (3x)2 − 52 |
| | = (3x + 5)(3x − 5) |
6. Factorise 16x2 − 25a2
7. Factorise 9x2 − 36b2
8. Factorise 8x2 − 32
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