What is (sqrt(2x+4)-6)^2 ?

The solution to (sqrt(2x+4)-6)^2 is 2x-12sqrt(2x+4)+40

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simplify (sqrt(2x+4)-6)^2

simplify

(2 x + 4 - 6)^{2}

2 x - 12 2 x + 4 + 40

Solution steps

(2 x + 4 - 6)^{2}

Apply Perfect Square Formula:

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

(2 x + 4 - 6)^{2} = (2 x + 4)^{2} - 2 2 x + 4 \cdot 6 + 6^{2}

= (2 x + 4)^{2} - 2 2 x + 4 \cdot 6 + 6^{2}

Simplify

(2 x + 4)^{2} - 2 2 x + 4 \cdot 6 + 6^{2} : 2 x - 12 2 x + 4 + 40

= 2 x - 12 2 x + 4 + 40

(i - 1)^{7}

(y x^{- 3} = \frac{x ^{4}}{2} + c) (2 x^{3})

l im x \Rightarrow 2 (x^{2} + 3 x - 4)

(x^{2} + x + 1)^{10}

\frac{1}{( 3 x - 1 ) ^{4}}

What is (sqrt(2x+4)-6)^2 ?
The solution to (sqrt(2x+4)-6)^2 is 2x-12sqrt(2x+4)+40