What is (sqrt(4x+1)-sqrt(5x-1))^2 ?

The solution to (sqrt(4x+1)-sqrt(5x-1))^2 is 9x-2sqrt(4x+1)sqrt(5x-1)

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simplify (sqrt(4x+1)-sqrt(5x-1))^2

simplify

(4 x + 1 - 5 x - 1)^{2}

9 x - 2 4 x + 1 5 x - 1

Solution steps

(4 x + 1 - 5 x - 1)^{2}

Apply Perfect Square Formula:

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

(4 x + 1 - 5 x - 1)^{2} = (4 x + 1)^{2} - 2 4 x + 1 5 x - 1 + (5 x - 1)^{2}

= (4 x + 1)^{2} - 2 4 x + 1 5 x - 1 + (5 x - 1)^{2}

Simplify

(4 x + 1)^{2} - 2 4 x + 1 5 x - 1 + (5 x - 1)^{2} : 9 x - 2 4 x + 1 5 x - 1

= 9 x - 2 4 x + 1 5 x - 1

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

A (0, - 5) y B (2.5, 0)

\frac{x ^{2} + 6 x}{( x + 3 ) ^{2}}

\frac{d ^{2}}{d x ^{2}} ((y) (- 2 x^{2} + 5 x))

- \frac{14}{( x - 7 ) ^{2}}

What is (sqrt(4x+1)-sqrt(5x-1))^2 ?
The solution to (sqrt(4x+1)-sqrt(5x-1))^2 is 9x-2sqrt(4x+1)sqrt(5x-1)