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

The solution to (2+3sqrt(x-7))^2 is 9x+12sqrt(x-7)-59

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

simplify

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

9 x + 12 x - 7 - 59

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} + 2 \cdot 2 \cdot 3 x - 7 + (3 x - 7)^{2} : 9 x + 12 x - 7 - 59

= 9 x + 12 x - 7 - 59

\frac{2 + 7 x}{( 1 + 2 x ) ( 1 - x )}

\frac{b ^{2} - x ^{2}}{( b ^{2} + x ^{2} ) ^{2}}

\frac{173}{12} x - 16 (x - 4)

\frac{d ^{2}}{d x d y} ((f (x, y)) 6 (x + y)^{2})

\frac{d ^{2}}{d x ^{2}} ((y) (2 x^{3} + y + y^{2}))

What is (2+3sqrt(x-7))^2 ?
The solution to (2+3sqrt(x-7))^2 is 9x+12sqrt(x-7)-59