What is (2t)/((t+0.5)^2)+0.5 ?

The solution to (2t)/((t+0.5)^2)+0.5 is (0.5t^2+2.5t+0.125)/((t+0.5)^2)

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simplify (2t)/((t+0.5)^2)+0.5

simplify

\frac{2 t}{( t + 0.5 ) ^{2}} + 0.5

\frac{0.5 t ^{2} + 2.5 t + 0.125}{( t + 0.5 ) ^{2}}

Solution steps

\frac{2 t}{( t + 0.5 ) ^{2}} + 0.5

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{0.5 ( t + 0.5 ) ^{2} + 2 t}{( t + 0.5 ) ^{2}}

Simplify

0.5 (t + 0.5)^{2} + 2 t : 0.5 t^{2} + 2.5 t + 0.125

= \frac{0.5 t ^{2} + 2.5 t + 0.125}{( t + 0.5 ) ^{2}}

x d y + (y - 4 x^{2}) d x

\frac{x + 1}{( x - 1 ) ( x - 6 )}

A e^{2 x} (2 x) + B (e^{2 x} + 2 e^{2 x} x)

(p + q)^{2}

(x - 1) (x - 2)^{'}

What is (2t)/((t+0.5)^2)+0.5 ?
The solution to (2t)/((t+0.5)^2)+0.5 is (0.5t^2+2.5t+0.125)/((t+0.5)^2)