What is (sqrt(3x+6)-7)^2 ?

The solution to (sqrt(3x+6)-7)^2 is 3x-14sqrt(3x+6)+55

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simplify (sqrt(3x+6)-7)^2

simplify

(3 x + 6 - 7)^{2}

3 x - 14 3 x + 6 + 55

Solution steps

(3 x + 6 - 7)^{2}

Apply Perfect Square Formula:

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

(3 x + 6 - 7)^{2} = (3 x + 6)^{2} - 2 3 x + 6 \cdot 7 + 7^{2}

= (3 x + 6)^{2} - 2 3 x + 6 \cdot 7 + 7^{2}

Simplify

(3 x + 6)^{2} - 2 3 x + 6 \cdot 7 + 7^{2} : 3 x - 14 3 x + 6 + 55

= 3 x - 14 3 x + 6 + 55

(cot (2 x) - csc (2 x))^{2}

\frac{2 ( 21 + 2 14 )}{275}

x^{\frac{5}{7}} (x^{\frac{1}{7}} - x^{\frac{2}{7}})

(a x^{2} + b x - 2 a x - b + c) (d x^{2} + e x - 2 d x - e + f)

(5 + 3 i) (- 33 + 2 x π) i

What is (sqrt(3x+6)-7)^2 ?
The solution to (sqrt(3x+6)-7)^2 is 3x-14sqrt(3x+6)+55