What is (a+5sqrt(5))^2 ?

The solution to (a+5sqrt(5))^2 is a^2+10sqrt(5)a+125

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simplify (a+5sqrt(5))^2

simplify

(a + 55)^{2}

a^{2} + 105 a + 125

Solution steps

(a + 55)^{2}

Apply Perfect Square Formula:

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

(a + 55)^{2} = a^{2} + 2 a \cdot 55 + (55)^{2}

= a^{2} + 2 a \cdot 55 + (55)^{2}

2 a \cdot 55 = 105 a

(55)^{2} = 125

= a^{2} + 105 a + 125

3 (1 + \frac{2 i}{n})^{2}

\frac{15 x ^{2} - 10 x + 16}{( 3 x - 1 ) ^{2}}

\frac{1}{y ( y - 1 )}

x \times (x^{2} + 1)

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