What is expand (x+1)^2+4y^2-arctan((x+1)/(2y)) ?

The solution to expand (x+1)^2+4y^2-arctan((x+1)/(2y)) is x^2+2x+1+4y^2-arctan((x+1)/(2y))

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expand (x+1)^2+4y^2-arctan((x+1)/(2y))

expand

(x + 1)^{2} + 4 y^{2} - arctan (\frac{x + 1}{2 y})

x^{2} + 2 x + 1 + 4 y^{2} - arctan (\frac{x + 1}{2 y})

Solution steps

(x + 1)^{2} + 4 y^{2} - arctan (\frac{x + 1}{2 y})

Apply Perfect Square Formula:

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

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

= x^{2} + 2 x \cdot 1 + 1^{2} + 4 y^{2} - arctan (\frac{x + 1}{2 y})

Simplify

x^{2} + 2 x \cdot 1 + 1^{2} : x^{2} + 2 x + 1

= x^{2} + 2 x + 1 + 4 y^{2} - arctan (\frac{x + 1}{2 y})

7 (2 x ln (x^{2} + 5) (x^{2} + 5) - 2 x^{3})

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

x (1 - x) (f \circ g) x (1 - x)

(x y^{2} + x) d x + y x^{2} d y

(2 c t + b) t

What is expand (x+1)^2+4y^2-arctan((x+1)/(2y)) ?
The solution to expand (x+1)^2+4y^2-arctan((x+1)/(2y)) is x^2+2x+1+4y^2-arctan((x+1)/(2y))