Question

Expression completely it possible. (x^(2)-49)/(x^(2)+4x-21) Submit Answer

Answer 1

The expression simplifies to (x - 7)/(x + 3).

Step-by-step explanation:

To simplify the given expression
`(x^(2) - 49)/(x^(2) + 4x - 21),` we first factor both the numerator and denominator. The numerator,
`x^(2)` - 49, is a difference of squares and factors into (x - 7)(x + 7).

The denominator,
`x^(2)`+ 4x - 21, can be factored into (x - 3)(x + 7). Now, we can cancel out the common factor (x + 7) from the numerator and denominator. The simplified expression is (x - 7)/(x - 3).

In summary, the original expression
`(x^(2) - 49)/(x^(2) + 4x - 21)` simplifies to (x - 7)/(x - 3) after factoring and canceling out the common factor.

This simplified form provides a clearer representation of the original expression, making it easier to analyze and work with in further mathematical operations.