What is expand ((y+1)e^t-x)^2 ?

The solution to expand ((y+1)e^t-x)^2 is e^{2t}y^2+2e^{2t}y-2e^tyx+e^{2t}-2e^tx+x^2

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expand ((y+1)e^t-x)^2

expand

((y + 1) e^{t} - x)^{2}

e^{2 t} y^{2} + 2 e^{2 t} y - 2 e^{t} y x + e^{2 t} - 2 e^{t} x + x^{2}

Solution steps

((y + 1) e^{t} - x)^{2}

Expand

(y + 1) e^{t} - x : e^{t} y + e^{t} - x

= (e^{t} y + e^{t} - x)^{2}

(e^{t} y + e^{t} - x)^{2} = (e^{t} y + e^{t} - x) (e^{t} y + e^{t} - x)

= (e^{t} y + e^{t} - x) (e^{t} y + e^{t} - x)

Expand

(e^{t} y + e^{t} - x) (e^{t} y + e^{t} - x) : e^{2 t} y^{2} + 2 e^{2 t} y - 2 e^{t} y x + e^{2 t} - 2 e^{t} x + x^{2}

= e^{2 t} y^{2} + 2 e^{2 t} y - 2 e^{t} y x + e^{2 t} - 2 e^{t} x + x^{2}

(1, - 2) \cdot (x, y)

(f \circ g) (x - y)

16 (4 π - 3)

- 2 (2 x y + \frac{d}{d x} ((y) x^{2}))

(2 x + 3) \circ (x^{2} - 2 x + 4)

What is expand ((y+1)e^t-x)^2 ?
The solution to expand ((y+1)e^t-x)^2 is e^{2t}y^2+2e^{2t}y-2e^tyx+e^{2t}-2e^tx+x^2