Question

A^2+4a+4/3a+6= Упростить выражение

Answer 1

$\frac{ {a}^{2} + 4a + 4}{3a + 6} = \frac{ {(a + 2)}^{2} }{3(a + 2)} = \frac{a + 2}{3}$

Answer 2

To simplify the expression A^2 + 4a + 4 / 3a + 6, we need to perform some algebraic steps.

Step 1: Combine like terms in the numerator: A^2 + 4a + 4 can be factored as (A + 2)^2.

Step 2: Rewrite the expression: (A^2 + 4a + 4) / (3a + 6)

Step 3: Factor out the common factor in the denominator: 3a + 6 can be factored as 3(a + 2).

Step 4: Rewrite the expression with the factored terms: (A + 2)^2 / 3(a + 2)

Step 5: Cancel out the common factor (a + 2) in the numerator and denominator: The final simplified expression is: (A + 2) / 3