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

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

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

simplify

(5 y - 2)^{2}

25 y - 102 y + 2

Solution steps

(5 y - 2)^{2}

Apply Perfect Square Formula:

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

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

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

(5 y)^{2} = 25 y

- 2 \cdot 5 y 2 = - 102 y

(2)^{2} = 2

= 25 y - 102 y + 2

\frac{3}{( 2 x - 1 ) ^{3}}

8 \cdot ln (y) (4 - 2 \cdot x)^{2} - x e^{2} \cdot (4 - 2 \cdot x) + 4 - 2 \cdot x

(a - b - c) (d - e - f)

(cos (x))^{2}

\frac{2 ( a - 1 ) ( 2 a ^{2} + 2 a - 3 )}{3 a ^{2}}

What is (5sqrt(y)-sqrt(2))^2 ?
The solution to (5sqrt(y)-sqrt(2))^2 is 25y-10sqrt(2)sqrt(y)+2