Question

simplify:2a^2+5^a3/2^2+7^a+6÷a^2+6^a+5/-5^a-35^a-50​

Answer 1

Answer:

2a² + 5a + 3 = (a + 1)(2a + 3)

2a² + 7a + 6 = (2a + 3)(a + 2)

a² + 6a + 5 = (a + 1)(a + 5)

-5a²-35a-50 = -5(a² + 7a + 10)

= -5(a + 2)(a + 5)

= [(a + 1)(2a + 3)/(2a + 3)(a + 2)] ÷ [(a + 1)(a + 5)/-5(a + 2)(a + 5)]

= [(a + 1)(2a + 3)/(2a + 3)(a + 2)] ⋅ [-5(a + 2)(a + 5)/(a + 1)(a + 5)]

= -5