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

The solution to (1+2sqrt(x))^2 is 1+4sqrt(x)+4x

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

simplify

(1 + 2 x)^{2}

1 + 4 x + 4 x

Solution steps

(1 + 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

1^{2} = 1

2 \cdot 1 \cdot 2 x = 4 x

(2 x)^{2} = 4 x

= 1 + 4 x + 4 x

(cos (x) - sec (x))^{2}

(x + y) d x + (x - y) d y

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

(3 t + 2 i t)^{2}

\frac{3 x ^{2} + 6 x + 5}{( x + 2 ) ^{2}}