What is expand (2sqrt(x+1))(x+1) ?

The solution to expand (2sqrt(x+1))(x+1) is 2xsqrt(x+1)+2sqrt(x+1)

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expand (2sqrt(x+1))(x+1)

expand

(2 x + 1) (x + 1)

2 x x + 1 + 2 x + 1

Solution steps

(2 x + 1) (x + 1)

Apply the distributive law:

a (b + c) = ab + a c

(2 x + 1) (x + 1) = 2 x + 1 x + 2 x + 1 \cdot 1

= 2 x + 1 x + 2 x + 1 \cdot 1

Simplify

2 x + 1 x + 2 x + 1 \cdot 1 : 2 x x + 1 + 2 x + 1

= 2 x x + 1 + 2 x + 1

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What is expand (2sqrt(x+1))(x+1) ?
The solution to expand (2sqrt(x+1))(x+1) is 2xsqrt(x+1)+2sqrt(x+1)