What is expand (4x^2+1)sqrt(4x^2+1) ?

The solution to expand (4x^2+1)sqrt(4x^2+1) is 4x^2sqrt(4x^2+1)+sqrt(4x^2+1)

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expand (4x^2+1)sqrt(4x^2+1)

expand

(4 x^{2} + 1) 4 x^{2} + 1

4 x^{2} 4 x^{2} + 1 + 4 x^{2} + 1

Solution steps

(4 x^{2} + 1) 4 x^{2} + 1

= 4 x^{2} + 1 (4 x^{2} + 1)

Apply the distributive law:

a (b + c) = ab + a c

4 x^{2} + 1 (4 x^{2} + 1) = 4 x^{2} + 1 \cdot 4 x^{2} + 4 x^{2} + 1 \cdot 1

= 4 x^{2} + 1 \cdot 4 x^{2} + 4 x^{2} + 1 \cdot 1

Simplify

4 x^{2} + 1 \cdot 4 x^{2} + 4 x^{2} + 1 \cdot 1 : 4 x^{2} 4 x^{2} + 1 + 4 x^{2} + 1

= 4 x^{2} 4 x^{2} + 1 + 4 x^{2} + 1

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What is expand (4x^2+1)sqrt(4x^2+1) ?
The solution to expand (4x^2+1)sqrt(4x^2+1) is 4x^2sqrt(4x^2+1)+sqrt(4x^2+1)