| a) (2x + 4)^(2n+1)/(x+2)^(2n+1) : 2^(2n) |
| = 2^(2n+1)(x + 2)^(2n+1)/(x+2)^(2n+1) : 2^(2n) |
| = 2^(2n+1) : 2^(2n) = 2 |
| |
| b) ((2 - a)(2 + a)/(5(2 + a)))³ * (10(2 + a)/(2 - a))³ * ((2 + a)/(a + 2)²)³ |
| = ((2 - a)/5)³ * (10(2 + a)/(2 - a))³ * (1/(2 + a))³ |
| = (2 - a)³/125 * 1000(2 + a)³/(2 - a)³ * 1/(2 + a)³ |
| = 1000/125 = 8 |
| |
| c) ((x - 1)²/(x - 3))^4 : ((x - 1)/(x - 3)(x + 3))^4 * (3/(x - 1)(x + 3))^4 |
| = (x - 1)^8/(x - 3)^4 : (x - 1)^4/((x - 3)(x + 3))^4 * 81/((x - 1)(x + 3))^4 |
| = (x - 1)^8/(x - 3)^4 * (x - 3)^4(x + 3)^4/(x - 1)^4 * 81/((x - 1)^4(x + 3)^4) |
| = 81 |
|
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