Question

can anyone pls help w these questions?

Answer 1

Answer:

(d)

$\frac{4}{x + 5} + \frac{3}{ {x}^{2} + 10x + 25} =$

$\frac{4(x + 5) + 3}{ {x}^{2} + 10x + 25 } = \frac{4x + 20 + 3}{ {x}^{2} + 10x + 25} = \frac{4x + 23}{ {x}^{2} + 10x + 25 }$

(e)

$\frac{3}{y - 2} - \frac{2}{ ({2 - y)}^{2} } =$

$\frac{3(y - 2) - 2}{ {(y - 2)}^{2} } = \frac{3y - 6 - 2}{ {(y - 2)}^{2} } = \frac{3y - 8}{ {y}^{2} - 4y + 4}$

(f)

$\frac{a + 2}{ {a}^{2} - 2a - 3 } - \frac{a + 3}{ {a}^{2} - a - 2 } =$

$\frac{a + 2}{(a + 1)(a - 3)} - \frac{a + 3}{(a + 1)(a - 2)} =$

$\frac{(a + 2)(a - 2) - (a + 3)(a - 3)}{(a + 1)(a - 2)(a - 3)} =$

$\frac{ {a}^{2} - 4 - ( {a}^{2} - 9) }{(a + 1)(a - 2)(a - 3)} = \frac{5}{(a + 1)(a - 2)(a - 3)}$