What is (sqrt(x+6)-x)(sqrt(x+6)+x) ?

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

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simplify (sqrt(x+6)-x)(sqrt(x+6)+x)

simplify

(x + 6 - x) (x + 6 + x)

x + 6 - x^{2}

Solution steps

(x + 6 - x) (x + 6 + x)

Apply Difference of Two Squares

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

= x + 6 - x^{2}

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

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

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

(1 - i)^{5}

(1 - i)^{2}

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