What is (sqrt((4x+2))-4x)*(sqrt((4x+2))+4x) ?

The solution to (sqrt((4x+2))-4x)*(sqrt((4x+2))+4x) is 4x+2-16x^2

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simplify (sqrt((4x+2))-4x)*(sqrt((4x+2))+4x)

simplify

((4 x + 2) - 4 x) \cdot ((4 x + 2) + 4 x)

4 x + 2 - 16 x^{2}

Solution steps

(4 x + 2 - 4 x) (4 x + 2 + 4 x)

Apply rule:

(a) = a

(4 x + 2) = 4 x + 2

= (4 x + 2 - 4 x) (4 x + 2 + 4 x)

Apply Difference of Two Squares

(4 x + 2 - 4 x) (4 x + 2 + 4 x) : 4 x + 2 - 16 x^{2}

= 4 x + 2 - 16 x^{2}

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What is (sqrt((4x+2))-4x)*(sqrt((4x+2))+4x) ?
The solution to (sqrt((4x+2))-4x)*(sqrt((4x+2))+4x) is 4x+2-16x^2