What is (7-sqrt(3)sqrt(y))^2 ?

The solution to (7-sqrt(3)sqrt(y))^2 is 49-14sqrt(3)sqrt(y)+3y

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simplify (7-sqrt(3)sqrt(y))^2

simplify

(7 - 3 y)^{2}

49 - 143 y + 3 y

Solution steps

(7 - 3 y)^{2}

Apply Perfect Square Formula:

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

(7 - 3 y)^{2} = 7^{2} - 2 \cdot 73 y + (3 y)^{2}

= 7^{2} - 2 \cdot 73 y + (3 y)^{2}

7^{2} = 49

- 2 \cdot 73 y = - 143 y

(3 y)^{2} = 3 y

= 49 - 143 y + 3 y

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What is (7-sqrt(3)sqrt(y))^2 ?
The solution to (7-sqrt(3)sqrt(y))^2 is 49-14sqrt(3)sqrt(y)+3y