What is (sqrt(x+6)+sqrt(x+1))^2 ?

The solution to (sqrt(x+6)+sqrt(x+1))^2 is 2x+2sqrt(x+6)sqrt(x+1)+7

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simplify (sqrt(x+6)+sqrt(x+1))^2

simplify

(x + 6 + x + 1)^{2}

2 x + 2 x + 6 x + 1 + 7

Solution steps

(x + 6 + x + 1)^{2}

Apply Perfect Square Formula:

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

(x + 6 + x + 1)^{2} = (x + 6)^{2} + 2 x + 6 x + 1 + (x + 1)^{2}

= (x + 6)^{2} + 2 x + 6 x + 1 + (x + 1)^{2}

Simplify

(x + 6)^{2} + 2 x + 6 x + 1 + (x + 1)^{2} : 2 x + 2 x + 6 x + 1 + 7

= 2 x + 2 x + 6 x + 1 + 7

(3 - 3 i)^{7}

300000 (1 - e^{- k^{5}})

120 (4 + 33)

(a + 33 a)^{2}

\frac{x ^{2} ( 12 + x ^{2} ) ^{2}}{4}

What is (sqrt(x+6)+sqrt(x+1))^2 ?
The solution to (sqrt(x+6)+sqrt(x+1))^2 is 2x+2sqrt(x+6)sqrt(x+1)+7