What is expand (3t(x)-5)xt' ?

The solution to expand (3t(x)-5)xt' is 3x^2t^{1+'}-5xt^'

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expand (3t(x)-5)xt'

expand

(3 t (x) - 5) x t^{^{'}}

3 x^{2} t^{1 +'} - 5 x t^{'}

Solution steps

(3 t (x) - 5) x t^{^{'}}

= x t^{^{^{'}}} (3 t (x) - 5)

Apply the distributive law:

a (b - c) = ab - a c

a = x t^{^{'}}, b = 3 t (x), c = 5

= x t^{^{^{'}}} \cdot 3 t (x) - x t^{^{^{'}}} \cdot 5

= 3 t x (x) t^{^{^{'}}} - 5 x t^{^{^{'}}}

Simplify

3 t x (x) t^{^{'}} - 5 x t^{^{'}} : 3 x^{2} t^{1 +^{'}} - 5 x t^{^{'}}

= 3 x^{2} t^{1 +^{'}} - 5 x t^{^{'}}

\frac{( 2 - x ) ( x - 3 ) ( x - 4 )}{24}

(5 + sin (t))^{2} + cos^{2} (t)

\frac{378.7 ( s + 1 )}{s ^{4} + 30 s ^{3} + 100 s ^{2} - 200 s + 400}

- \frac{43}{16 ( 4 w - 1 )}

- 2 \cdot e^{- n^{2} \cdot π^{2}} - \frac{e ^{- t (- π^{2} n^{2} + 1)} - 1}{- π ^{2} n ^{2} + 1}

What is expand (3t(x)-5)xt' ?
The solution to expand (3t(x)-5)xt' is 3x^2t^{1+'}-5xt^'