What is (sqrt((x-6)/5)-sqrt((3x+1)/7))^2 ?

The solution to (sqrt((x-6)/5)-sqrt((3x+1)/7))^2 is (22x-14sqrt(5)sqrt((3x+1)/7)sqrt(x-6)-37)/(35)

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simplify (sqrt((x-6)/5)-sqrt((3x+1)/7))^2

simplify

(\frac{x - 6}{5} - \frac{3 x + 1}{7})^{2}

\frac{22 x - 14 5 \frac{3 x + 1}{7} x - 6 - 37}{35}

Solution steps

(\frac{x - 6}{5} - \frac{3 x + 1}{7})^{2}

Apply Perfect Square Formula:

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

(\frac{x - 6}{5} - \frac{3 x + 1}{7})^{2} = (\frac{x - 6}{5})^{2} - 2 \frac{x - 6}{5} \frac{3 x + 1}{7} + (\frac{3 x + 1}{7})^{2}

= (\frac{x - 6}{5})^{2} - 2 \frac{x - 6}{5} \frac{3 x + 1}{7} + (\frac{3 x + 1}{7})^{2}

Simplify

(\frac{x - 6}{5})^{2} - 2 \frac{x - 6}{5} \frac{3 x + 1}{7} + (\frac{3 x + 1}{7})^{2} : \frac{22 x - 70 \frac{x - 6}{5} \frac{3 x + 1}{7} - 37}{35}

= \frac{22 x - 70 \frac{x - 6}{5} \frac{3 x + 1}{7} - 37}{35}

70 \frac{x - 6}{5} \frac{3 x + 1}{7} = 145 \frac{3 x + 1}{7} x - 6

= \frac{22 x - 14 5 \frac{3 x + 1}{7} x - 6 - 37}{35}

\frac{1}{s ^{2} ( s ^{2} - 2 s + 5 )}

\frac{( s + 2 )}{s ( s ^{2} + 2 s + 2 )}

(a + \frac{c - a}{6}) (1 + x^{2})

(\frac{4}{3} - x)^{4}

(x^{2} + y^{2}) (7 x + \frac{2}{3})

What is (sqrt((x-6)/5)-sqrt((3x+1)/7))^2 ?
The solution to (sqrt((x-6)/5)-sqrt((3x+1)/7))^2 is (22x-14sqrt(5)sqrt((3x+1)/7)sqrt(x-6)-37)/(35)