Question

X^2+2x-42/x^2-49 Сократите дробь

Answer 1

Эта дробь несократима,т.к корни числителя иррациональны,но можно выполнить деление "уголком"

Answer 2

Она не сокращается так как никак нельзя упростить. Так и остаётся

Answer 3

To simplify the given expression, we need to factor both the numerator and the denominator and then cancel out any common factors.

The expression is: (x^2 + 2x - 42) / (x^2 - 49)

Step 1: Factor the numerator and denominator. Numerator: x^2 + 2x - 42 This is a quadratic expression that can be factored as (x + 7)(x - 6).

Denominator: x^2 - 49 This is a difference of squares and can be factored as (x + 7)(x - 7).

Step 2: Now, rewrite the expression with the factored forms of numerator and denominator. [(x + 7)(x - 6)] / [(x + 7)(x - 7)]

Step 3: Cancel out the common factor (x + 7) from both the numerator and denominator. The simplified expression is: (x - 6) / (x - 7)

So, (x^2 + 2x - 42) / (x^2 - 49) simplifies to (x - 6) / (x - 7).