((4)/(h+5)) + ((7)/((h+5)^2))

asked by guest
on Jan 25, 2025 at 6:39 am



You asked:

Evaluate the expression: \(\frac{4}{h + 5} + \frac{7}{{\left( h + 5 \right)}^{2}}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{4}{h + 5} + \frac{7}{{\left( h + 5 \right)}^{2}} = \frac{4}{h + 5} + \frac{7}{\left(h + 5\right)^{2}} \)

Expanded

\[\frac{4}{h + 5} + \frac{7}{{\left( h + 5 \right)}^{2}} = \frac{7}{h^{2} + 10 h + 25} + \frac{4}{h + 5}\]

Factored

\[\frac{4}{h + 5} + \frac{7}{{\left( h + 5 \right)}^{2}} = \frac{4 h + 27}{\left(h + 5\right)^{2}}\]

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