What is (1+sqrt(x+5))^2 ?

The solution to (1+sqrt(x+5))^2 is x+2sqrt(x+5)+6

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simplify (1+sqrt(x+5))^2

simplify

(1 + x + 5)^{2}

x + 2 x + 5 + 6

Solution steps

(1 + x + 5)^{2}

Apply Perfect Square Formula:

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

(1 + x + 5)^{2} = 1^{2} + 2 \cdot 1 \cdot x + 5 + (x + 5)^{2}

= 1^{2} + 2 \cdot 1 \cdot x + 5 + (x + 5)^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot x + 5 + (x + 5)^{2} : x + 2 x + 5 + 6

= x + 2 x + 5 + 6

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

\frac{m R ^{2} ( g t ^{2} - 2 h ) \cdot 0.5}{h}

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

(- w + w^{2} - 1)^{2}

(- e^{t} sin (t) + e^{t} cos (t)) (2 e^{t} cos (t))