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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

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