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Popular >

simplify (4-sqrt(t))^2

Solution

simplify

(4 - t)^{2}

Solution

16 - 8 t + t

Solution steps

(4 - t)^{2}

Apply Perfect Square Formula:

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

(4 - t)^{2} = 4^{2} - 2 \cdot 4 t + (t)^{2}

= 4^{2} - 2 \cdot 4 t + (t)^{2}

4^{2} = 16

- 2 \cdot 4 t = - 8 t

(t)^{2} = t

= 16 - 8 t + t

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Frequently Asked Questions (FAQ)

What is (4-sqrt(t))^2 ?
The solution to (4-sqrt(t))^2 is 16-8sqrt(t)+t