What is (16+8sqrt(x-36))^2 ?

The solution to (16+8sqrt(x-36))^2 is 64x+256sqrt(x-36)-2048

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simplify (16+8sqrt(x-36))^2

simplify

(16 + 8 x - 36)^{2}

64 x + 256 x - 36 - 2048

Solution steps

(16 + 8 x - 36)^{2}

Apply Perfect Square Formula:

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

(16 + 8 x - 36)^{2} = 1 6^{2} + 2 \cdot 16 \cdot 8 x - 36 + (8 x - 36)^{2}

= 1 6^{2} + 2 \cdot 16 \cdot 8 x - 36 + (8 x - 36)^{2}

Simplify

1 6^{2} + 2 \cdot 16 \cdot 8 x - 36 + (8 x - 36)^{2} : 64 x + 256 x - 36 - 2048

= 64 x + 256 x - 36 - 2048

\frac{s ^{3} + 5 s ^{2} + 5 s + 20}{( s ^{2} + 4 ) ( s + 1 ) ( s + 4 )}

(8 x - 7)^{2}

1 + tanh (\frac{k ( t - a )}{2})

(6 - 2 x - 1)^{2}

\frac{sin ( x ) + 1}{cos ( x ) ( sin ( x ) - 1 )}

What is (16+8sqrt(x-36))^2 ?
The solution to (16+8sqrt(x-36))^2 is 64x+256sqrt(x-36)-2048