Simplify:
2x + 3 + 2x – 3 -2
2x – 3 2x + 3
Answer:
24) D
Let us first solve the first part of the problem
2x + 3 + 2x – 3
2x – 3 2x + 3
(2x + 3)² + (2x – 3)²
(2x – 3) (2x + 3)
(4x² + 6x + 9) + (4x² – 6x + 9)
4x² – 9
8x² + 18
4x² – 9
Let us now solve the second part of the problem
8x² + 18 – 2
4x² – 9 1
8x² + 18 – 8x² – 18
4x² – 9 4x² – 9
8x² + 18 – (8x² – 18)
4x² – 9
8x² + 18 – 8x² + 18
4x² – 9
18 + 18
4x² – 9
36
4x² – 9
Remember that we solved (2x – 3) (2x + 3) = 4x² – 9
So the answer is :
36
(2x – 3) (2x + 3)