What is (sqrt(6x+7)-4)^2 ?

The solution to (sqrt(6x+7)-4)^2 is 6x-8sqrt(6x+7)+23

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simplify (sqrt(6x+7)-4)^2

simplify

(6 x + 7 - 4)^{2}

6 x - 8 6 x + 7 + 23

Solution steps

(6 x + 7 - 4)^{2}

Apply Perfect Square Formula:

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

(6 x + 7 - 4)^{2} = (6 x + 7)^{2} - 2 6 x + 7 \cdot 4 + 4^{2}

= (6 x + 7)^{2} - 2 6 x + 7 \cdot 4 + 4^{2}

Simplify

(6 x + 7)^{2} - 2 6 x + 7 \cdot 4 + 4^{2} : 6 x - 8 6 x + 7 + 23

= 6 x - 8 6 x + 7 + 23

(3) d i rec t r i z (y - 7 = 0)

(\frac{1}{2} m^{x} - 6 n^{y})^{2}

(x^{2} + \frac{5}{49}) (x^{2} - 4 x + 4)

- \frac{2 sec ^{2} ( x )}{( 1 + tan ( x ) ) ^{3}}

(v y - y) (v d y + y d v)

What is (sqrt(6x+7)-4)^2 ?
The solution to (sqrt(6x+7)-4)^2 is 6x-8sqrt(6x+7)+23