What is expand 1.5(x-2y)^2dy ?

The solution to expand 1.5(x-2y)^2dy is 1.5x^2dy-6xydy+6y^2dy

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expand 1.5(x-2y)^2dy

expand

1.5 (x - 2 y)^{2} d y

1.5 x^{2} d y - 6 x y d y + 6 y^{2} d y

Solution steps

1.5 (x - 2 y)^{2} d y

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

= 1.5 (x^{2} - 4 x y + 4 y^{2}) d y

Distribute parentheses

= 1.5 d y x^{2} + 1.5 d y (- 4 x y) + 1.5 d y \cdot 4 y^{2}

Apply minus-plus rules

+ (- a) = - a

= 1.5 x^{2} d y - 4 \cdot 1.5 x y d y + 4 \cdot 1.5 y^{2} d y

Multiply the numbers:

4 \cdot 1.5 = 6

= 1.5 x^{2} d y - 6 x y d y + 6 y^{2} d y

(\frac{3}{x - 2})^{2}

\frac{1}{50 ( a + 1 )}

\frac{( 4 - x ^{2} )}{x}

\frac{4 ( x - 3 )}{3}

\frac{21 ( 1 - 40 b - 56 c )}{16}

What is expand 1.5(x-2y)^2dy ?
The solution to expand 1.5(x-2y)^2dy is 1.5x^2dy-6xydy+6y^2dy