What is (sqrt(5x-1)-3)^2 ?

The solution to (sqrt(5x-1)-3)^2 is 5x-6sqrt(5x-1)+8

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simplify (sqrt(5x-1)-3)^2

simplify

(5 x - 1 - 3)^{2}

5 x - 6 5 x - 1 + 8

Solution steps

(5 x - 1 - 3)^{2}

Apply Perfect Square Formula:

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

(5 x - 1 - 3)^{2} = (5 x - 1)^{2} - 2 5 x - 1 \cdot 3 + 3^{2}

= (5 x - 1)^{2} - 2 5 x - 1 \cdot 3 + 3^{2}

Simplify

(5 x - 1)^{2} - 2 5 x - 1 \cdot 3 + 3^{2} : 5 x - 6 5 x - 1 + 8

= 5 x - 6 5 x - 1 + 8

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A (- 2, - 3) B (5, 1)

(- 5 + 12 i)^{4}

(10 + \frac{50}{ln ( 2 x + 5 )}) (x)

(- 8 sin (x) + 3 cos (x)) (- 8 cos (x) - 3 sin (x))