What is expand (4-4x-2y)^2 ?

The solution to expand (4-4x-2y)^2 is 16x^2-32x-16y+16xy+4y^2+16

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expand (4-4x-2y)^2

expand

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

16 x^{2} - 32 x - 16 y + 16 x y + 4 y^{2} + 16

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(4 - 4 x - 2 y)^{2} = (4 - 4 x - 2 y) (4 - 4 x - 2 y)

= (4 - 4 x - 2 y) (4 - 4 x - 2 y)

Distribute parentheses

= 4 \cdot 4 + 4 (- 4 x) + 4 (- 2 y) - 4 x \cdot 4 - 4 x (- 4 x) - 4 x (- 2 y) - 2 y \cdot 4 - 2 y (- 4 x) - 2 y (- 2 y)

Simplify

4 \cdot 4 + 4 (- 4 x) + 4 (- 2 y) - 4 x \cdot 4 - 4 x (- 4 x) - 4 x (- 2 y) - 2 y \cdot 4 - 2 y (- 4 x) - 2 y (- 2 y) : 16 x^{2} - 32 x - 16 y + 16 x y + 4 y^{2} + 16

= 16 x^{2} - 32 x - 16 y + 16 x y + 4 y^{2} + 16

\frac{2 x ^{\frac{3}{2}}}{\frac{3}{2}}

\frac{25}{1000}

(1 + x)^{11}

(2 p - 3)^{2}

+ (- \frac{6}{12})

What is expand (4-4x-2y)^2 ?
The solution to expand (4-4x-2y)^2 is 16x^2-32x-16y+16xy+4y^2+16