Simplify $\{4x^2 - 49y^2}/{2x + 7y} + 7y - 2x$.

Question

Accepted Answer

Step 1: Recognize that the numerator is a difference of squares:
$4x^2 - 49y^2 = (2x)^2 - (7y)^2 = (2x - 7y)(2x + 7y)$.

Step 2: Substitute this factorization into the expression:
$$ \frac{(2x - 7y)(2x + 7y)}{2x + 7y} + 7y - 2x $$

Step 3: Cancel the common factor $2x + 7y$ in numerator and denominator:
$$ 2x - 7y + 7y - 2x $$

Step 4: Simplify the remaining terms:
$$ 2x - 7y + 7y - 2x = 0 $$

Step 5: The expression simplifies to 0.

Answer

Answer

Answer