What is (5-xsqrt(6))^2 ?

The solution to (5-xsqrt(6))^2 is 25-10sqrt(6)x+6x^2

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simplify (5-xsqrt(6))^2

simplify

(5 - x 6)^{2}

25 - 106 x + 6 x^{2}

Solution steps

(5 - x 6)^{2}

Apply Perfect Square Formula:

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

(5 - x 6)^{2} = 5^{2} - 2 \cdot 5 x 6 + (x 6)^{2}

= 5^{2} - 2 \cdot 5 x 6 + (x 6)^{2}

5^{2} = 25

- 2 \cdot 5 x 6 = - 106 x

(x 6)^{2} = 6 x^{2}

= 25 - 106 x + 6 x^{2}

(\frac{3}{x - 8} + 5 (100 - x)) (x - 8)

\frac{( 1 - r )}{( z - r ) ( z - 1 )}

(10 - i)^{4}

(5 X + 7 y)^{2}

a (g - h = m)