simplify- 2(3/4)^2-3(3/4)+3
=-3/8
Simplify the following:
-2 (3/4)^2-3×3/4+3
(3/4)^2 = 3^2/4^2:
-23^2/4^2-3×3/4+3
3^2 = 9:
-2×9/4^2-3×3/4+3
4^2 = 16:
-2×9/16-3×3/4+3
-2×9/16 = (-2×9)/16:
(-2×9)/16-3×3/4+3
The gcd of -2 and 16 is 2, so (-2×9)/16 = ((2 (-1)) 9)/(2×8) = 2/2×(-9)/8 = (-9)/8:
(-1×9)/8-3×3/4+3
-3×3 = -9:
(-9)/8+-9/4+3
Put (-9)/8-9/4+3 over the common denominator 8. (-9)/8-9/4+3 = (-9)/8+(2 (-9))/8+(8×3)/8:
(-9)/8+(2 (-9))/8+(8×3)/8
2 (-9) = -18:
(-9)/8+-18/8+(8×3)/8
8×3 = 24:
(-9)/8-18/8+24/8
(-9)/8-(18)/8+24/8 = (-9-18+24)/8:
(-9-18+24)/8
-9-18+24 = 24-(9+18):
24-(9+18)/8
| 1 |
| 1 | 8
+ | | 9
| 2 | 7:
(24-27)/8
24-27 = -(27-24):
-(27-24)/8
| 2 | 7
- | 2 | 4
| 0 | 3:
Answer: |
| (-3)/8
