Question

(3)/(m^2)+15m+56+(4)/(m+8)

Solution

Verificación de expertos

4 (231 Votos)

Vasco Mestre · Tutor por 5 anos

Resposta

To simplify the expression

, we first need to factor the quadratic expression in the denominator of the first fraction.The quadratic expression

can be factored as follows:We look for two numbers that multiply to 56 and add up to 15. These numbers are 7 and 8.So, \(m^2 + 15m + 56 = (m + 7)(m + 8)\).Now, we rewrite the original expression with the factored form:

Next, we find a common denominator for the two fractions. The common denominator is \((m + 7)(m + 8)\).We rewrite each fraction with the common denominator:

Now, we combine the fractions:

Simplify the numerator:

So, the simplified expression is:

Thus, the simplified form of the given expression is: