What is (sqrt(x-5)+2sqrt(x+4))^2 ?

The solution to (sqrt(x-5)+2sqrt(x+4))^2 is 5x+4sqrt(x-5)sqrt(x+4)+11

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simplify (sqrt(x-5)+2sqrt(x+4))^2

simplify

(x - 5 + 2 x + 4)^{2}

5 x + 4 x - 5 x + 4 + 11

Solution steps

(x - 5 + 2 x + 4)^{2}

Apply Perfect Square Formula:

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

(x - 5 + 2 x + 4)^{2} = (x - 5)^{2} + 2 x - 5 \cdot 2 x + 4 + (2 x + 4)^{2}

= (x - 5)^{2} + 2 x - 5 \cdot 2 x + 4 + (2 x + 4)^{2}

Simplify

(x - 5)^{2} + 2 x - 5 \cdot 2 x + 4 + (2 x + 4)^{2} : 5 x + 4 x - 5 x + 4 + 11

= 5 x + 4 x - 5 x + 4 + 11

, (- 2, - 18) (- 18, 1)^{'}

v (- 2, - 3) f (- 2, - 1)

\frac{2}{( ( s + 1 ) ( s + 2 ) )}

- \frac{( 6 - x ) ^{4}}{216}

(5 y + x) (5 y - 3 x)

What is (sqrt(x-5)+2sqrt(x+4))^2 ?
The solution to (sqrt(x-5)+2sqrt(x+4))^2 is 5x+4sqrt(x-5)sqrt(x+4)+11