What is expand sqrt(1+t^2)*(1+t^2) ?

The solution to expand sqrt(1+t^2)*(1+t^2) is sqrt(1+t^2)+t^2sqrt(1+t^2)

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expand sqrt(1+t^2)*(1+t^2)

expand

1 + t^{2} \cdot (1 + t^{2})

1 + t^{2} + t^{2} 1 + t^{2}

Solution steps

1 + t^{2} (1 + t^{2})

Apply the distributive law:

a (b + c) = ab + a c

1 + t^{2} (1 + t^{2}) = 1 + t^{2} \cdot 1 + 1 + t^{2} t^{2}

= 1 + t^{2} \cdot 1 + 1 + t^{2} t^{2}

Simplify

1 + t^{2} \cdot 1 + 1 + t^{2} t^{2} : 1 + t^{2} + t^{2} 1 + t^{2}

= 1 + t^{2} + t^{2} 1 + t^{2}

(2 x - y) (2 x + y)

d x (- \frac{7}{3 x ^{3}} + x + \frac{5}{x})

x (π - x)

\frac{d ^{2}}{d x ^{2}} ((y) (4 sin (x) + 4 cos (y)))

t (\frac{10 t}{7} - 20)

What is expand sqrt(1+t^2)*(1+t^2) ?
The solution to expand sqrt(1+t^2)*(1+t^2) is sqrt(1+t^2)+t^2sqrt(1+t^2)