What is (sqrt(6x-11)+4)^2 ?

The solution to (sqrt(6x-11)+4)^2 is 6x+8sqrt(6x-11)+5

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simplify (sqrt(6x-11)+4)^2

simplify

(6 x - 11 + 4)^{2}

6 x + 8 6 x - 11 + 5

Solution steps

(6 x - 11 + 4)^{2}

Apply Perfect Square Formula:

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

(6 x - 11 + 4)^{2} = (6 x - 11)^{2} + 2 6 x - 11 \cdot 4 + 4^{2}

= (6 x - 11)^{2} + 2 6 x - 11 \cdot 4 + 4^{2}

Simplify

(6 x - 11)^{2} + 2 6 x - 11 \cdot 4 + 4^{2} : 6 x + 8 6 x - 11 + 5

= 6 x + 8 6 x - 11 + 5

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

\frac{a ^{2} b ^{2} c ^{2}}{( x - a ) ( x - b ) ( x - c )}

(1 - e^{t})^{2}

\frac{11 ( 64 - 15 z )}{2}

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

What is (sqrt(6x-11)+4)^2 ?
The solution to (sqrt(6x-11)+4)^2 is 6x+8sqrt(6x-11)+5