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

The solution to (sqrt(2)-5a)^2 is 2-10sqrt(2)a+25a^2

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

simplify

(2 - 5 a)^{2}

2 - 102 a + 25 a^{2}

Solution steps

(2 - 5 a)^{2}

Apply Perfect Square Formula:

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

(2 - 5 a)^{2} = (2)^{2} - 22 \cdot 5 a + (5 a)^{2}

= (2)^{2} - 22 \cdot 5 a + (5 a)^{2}

(2)^{2} = 2

- 22 \cdot 5 a = - 102 a

(5 a)^{2} = 25 a^{2}

= 2 - 102 a + 25 a^{2}

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