What is expand 4(y-1)^2e^{2x} ?

The solution to expand 4(y-1)^2e^{2x} is 4e^{2x}y^2-8e^{2x}y+4e^{2x}

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expand 4(y-1)^2e^{2x}

expand

4 (y - 1)^{2} e^{2 x}

4 e^{2 x} y^{2} - 8 e^{2 x} y + 4 e^{2 x}

Solution steps

4 (y - 1)^{2} e^{2 x}

(y - 1)^{2} = y^{2} - 2 y + 1

= 4 e^{2 x} (y^{2} - 2 y + 1)

= 4 e^{2 x} (y^{2} - 2 y + 1)

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

= 4 e^{2 x} y^{2} - 4 \cdot 2 e^{2 x} y + 4 \cdot 1 \cdot e^{2 x}

Simplify

4 e^{2 x} y^{2} - 4 \cdot 2 e^{2 x} y + 4 \cdot 1 \cdot e^{2 x} : 4 e^{2 x} y^{2} - 8 e^{2 x} y + 4 e^{2 x}

= 4 e^{2 x} y^{2} - 8 e^{2 x} y + 4 e^{2 x}

(x + 3) e^{3}

\frac{( e ^{(2 z)} )}{( z - 1 ) ^{3}}

e^{\frac{π ( i - 1 )}{3}}

(\frac{x}{2 + 1})^{5}

\frac{( x - 3 ) ( x - 2 )}{( x + 4 ) ( 2 x - 1 )}

What is expand 4(y-1)^2e^{2x} ?
The solution to expand 4(y-1)^2e^{2x} is 4e^{2x}y^2-8e^{2x}y+4e^{2x}