The expression given is:
10y² – 4x² – 16y² + x² + 8x – 40x + 25 – 64x² – 48x + 9
First, let’s simplify the expression:
- Combine like terms:
- (10y² – 16y²) = -6y²
- (-4x² + x² – 64x²) = -67x²
- (8x – 40x – 48x) = -80x
- Constants: 25 + 9 = 34
Now, rewriting the complete simplified expression:
-6y² – 67x² – 80x + 34
A difference of squares occurs in the format A² – B², which factors as (A – B)(A + B). From the simplified expression, we can see that there are no direct differences of squares present; however, if we can manipulate this expression further to match the difference of squares format, we might find a solution.
For instance, if we manage to rewrite parts of the squares within this equation or find appropriate A and B values, we could factor it. However, as presented, the current expression does not clearly demonstrate the difference of squares.
In conclusion, the given expression does not exhibit a clear difference of squares without further transformation or manipulation.