What is expand (sqrt(5x^2-2)*x^2-1)x' ?

The solution to expand (sqrt(5x^2-2)*x^2-1)x' is x^2x'sqrt(5x^2-2)-x'

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expand (sqrt(5x^2-2)*x^2-1)x'

expand

(5 x^{2} - 2 \cdot x^{2} - 1) x^{'}

x^{2} x' 5 x^{2} - 2 - x'

Solution steps

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

= (x^{2} 5 x^{2} - 2 - 1) x^{^{'}}

Apply the distributive law:

a (b - c) = ab - a c

a = x^{'}, b = 5 x^{2} - 2 x^{2}, c = 1

= x^{^{'}} 5 x^{2} - 2 x^{2} - x^{^{'}} 1

= x^{2} x^{^{'}} 5 x^{2} - 2 - 1 x^{^{'}}

Multiply:

1 x^{'} = x^{'}

= x^{2} x^{^{'}} 5 x^{2} - 2 - x^{^{'}}

\frac{( 0.5 s + 1 )}{( s + 1 ) ( 0.3 s + 1 )}

\frac{2 \cdot s}{( ( 1 + 0.5 \cdot s ) \cdot ( 1 + 0.125 \cdot s ) ^{2} )}

\frac{( x + 2 ) ( 2 x + 3 )}{3}

2 tan (x + y) sec^{2} (x + y) (1 + z)

\frac{26}{( s + 1 ) ^{3}}

What is expand (sqrt(5x^2-2)*x^2-1)x' ?
The solution to expand (sqrt(5x^2-2)*x^2-1)x' is x^2x'sqrt(5x^2-2)-x'