What is (sqrt(x+6)-sqrt(9x+70))^2 ?

The solution to (sqrt(x+6)-sqrt(9x+70))^2 is 10x-2sqrt(x+6)sqrt(9x+70)+76

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simplify (sqrt(x+6)-sqrt(9x+70))^2

simplify

(x + 6 - 9 x + 70)^{2}

10 x - 2 x + 6 9 x + 70 + 76

Solution steps

(x + 6 - 9 x + 70)^{2}

Apply Perfect Square Formula:

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

(x + 6 - 9 x + 70)^{2} = (x + 6)^{2} - 2 x + 6 9 x + 70 + (9 x + 70)^{2}

= (x + 6)^{2} - 2 x + 6 9 x + 70 + (9 x + 70)^{2}

Simplify

(x + 6)^{2} - 2 x + 6 9 x + 70 + (9 x + 70)^{2} : 10 x - 2 x + 6 9 x + 70 + 76

= 10 x - 2 x + 6 9 x + 70 + 76

x \cdot (1 - e^{- \frac{1}{x}})

(x + 5 - 3) (x^{2} + 9 + 5)

sin (a) (csc (a) - sin (a))

(1 + 2 y i)^{2}

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

What is (sqrt(x+6)-sqrt(9x+70))^2 ?
The solution to (sqrt(x+6)-sqrt(9x+70))^2 is 10x-2sqrt(x+6)sqrt(9x+70)+76