What is (6-7sqrt(y))^2 ?

The solution to (6-7sqrt(y))^2 is 36-84sqrt(y)+49y

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simplify (6-7sqrt(y))^2

simplify

(6 - 7 y)^{2}

36 - 84 y + 49 y

Solution steps

(6 - 7 y)^{2}

Apply Perfect Square Formula:

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

(6 - 7 y)^{2} = 6^{2} - 2 \cdot 6 \cdot 7 y + (7 y)^{2}

= 6^{2} - 2 \cdot 6 \cdot 7 y + (7 y)^{2}

6^{2} = 36

- 2 \cdot 6 \cdot 7 y = - 84 y

(7 y)^{2} = 49 y

= 36 - 84 y + 49 y

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