What is (sqrt(x-3)-4)^2 ?

The solution to (sqrt(x-3)-4)^2 is x-8sqrt(x-3)+13

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simplify (sqrt(x-3)-4)^2

simplify

(x - 3 - 4)^{2}

x - 8 x - 3 + 13

Solution steps

(x - 3 - 4)^{2}

Apply Perfect Square Formula:

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

(x - 3 - 4)^{2} = (x - 3)^{2} - 2 x - 3 \cdot 4 + 4^{2}

= (x - 3)^{2} - 2 x - 3 \cdot 4 + 4^{2}

Simplify

(x - 3)^{2} - 2 x - 3 \cdot 4 + 4^{2} : x - 8 x - 3 + 13

= x - 8 x - 3 + 13

\frac{s ^{2} ( s ^{3} + 2 s + 1 )}{s ^{5} + 3 s ^{4} + 2 s + 12}

(x - 7) (x + 7)

\frac{x + 7}{x ( x + 13 )}

(2 + cos (t))^{2}

(2 y + x) d y + y d x