What is (2-sqrt(4x+3))^2 ?

The solution to (2-sqrt(4x+3))^2 is 4x-4sqrt(4x+3)+7

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simplify (2-sqrt(4x+3))^2

simplify

(2 - 4 x + 3)^{2}

4 x - 4 4 x + 3 + 7

Solution steps

(2 - 4 x + 3)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(2 - 4 x + 3)^{2} = 2^{2} - 2 \cdot 2 4 x + 3 + (4 x + 3)^{2}

= 2^{2} - 2 \cdot 2 4 x + 3 + (4 x + 3)^{2}

Simplify

2^{2} - 2 \cdot 2 4 x + 3 + (4 x + 3)^{2} : 4 x - 4 4 x + 3 + 7

= 4 x - 4 4 x + 3 + 7

\frac{( 3 x ^{2} + 4 )}{( x ^{2} + 1 ) ^{2}}

411 (23 + 62)

(sin (x) + 3)^{2}

(x^{2} + 3 x y + 2 y^{2}) d y

(\frac{x + 3}{t - 2} + 2) (t - 2)