What is (5-xsqrt(3))^2 ?

The solution to (5-xsqrt(3))^2 is 25-10sqrt(3)x+3x^2

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simplify (5-xsqrt(3))^2

simplify

(5 - x 3)^{2}

25 - 103 x + 3 x^{2}

Solution steps

(5 - x 3)^{2}

Apply Perfect Square Formula:

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

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

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

5^{2} = 25

- 2 \cdot 5 x 3 = - 103 x

(x 3)^{2} = 3 x^{2}

= 25 - 103 x + 3 x^{2}

δ (x + 1)

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

(2 x - 5) (3 x + 1)

(x - 1 + 1)^{2}

\frac{100 s + 1000}{s ( s ^{2} + 10 s + 1000 )}