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Popular >

simplify (3-sqrt(t))^2

Solution

simplify

(3 - t)^{2}

Solution

9 - 6 t + t

Solution steps

(3 - t)^{2}

Apply Perfect Square Formula:

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

(3 - t)^{2} = 3^{2} - 2 \cdot 3 t + (t)^{2}

= 3^{2} - 2 \cdot 3 t + (t)^{2}

3^{2} = 9

- 2 \cdot 3 t = - 6 t

(t)^{2} = t

= 9 - 6 t + t

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Frequently Asked Questions (FAQ)

What is (3-sqrt(t))^2 ?
The solution to (3-sqrt(t))^2 is 9-6sqrt(t)+t