Question

Упростите выражение: a^2+2a+1                              b+2 ------------------ * ----------------- b^2-4                                     a+1

Answer 1

= ( ( a + 1 )^2/( b - 2)( b + 2 )) • (( b + 2 )/( a + 1 )) = ( a + 1 ) / ( b - 2 )
Ответ ( a + 1 ) / ( b - 2 )

Answer 2

To simplify this expression, we can start by factoring the quadratic expressions in the numerator and denominator, as well as simplifying any common factors:

a^2 + 2a + 1 = (a + 1)^2

b^2 - 4 = (b + 2)(b - 2)

So the expression becomes:

(a + 1)^2 b + 2 ----------- * ------ (b + 2)(b - 2) a + 1

Next, we can simplify the common factor of (a + 1) in the numerator and denominator:

(a + 1) * (a + 1) b + 2 ----------------- * ------ (b + 2)(b - 2) a + 1

We can then cancel out the common factor of (a + 1) to get the simplified expression:

(a + 1) b + 2 --------- * ------ (b + 2)(b - 2)

Therefore, the simplified expression is:

(a + 1)(b + 2)

(b + 2)(b - 2)