What is expand 3x(2y(2x+3)) ?

The solution to expand 3x(2y(2x+3)) is 12x^2y+18xy

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expand 3x(2y(2x+3))

expand

3 x (2 y (2 x + 3))

12 x^{2} y + 18 x y

Solution steps

3 x (2 y (2 x + 3))

Remove parentheses:

(a) = a

= 3 x \cdot 2 y (2 x + 3)

Multiply the numbers:

3 \cdot 2 = 6

= 6 x y (2 x + 3)

Apply the distributive law:

a (b + c) = ab + a c

a = 6 x y, b = 2 x, c = 3

= 6 x y \cdot 2 x + 6 x y \cdot 3

= 6 \cdot 2 xx y + 6 \cdot 3 x y

Simplify

6 \cdot 2 xx y + 6 \cdot 3 x y : 12 x^{2} y + 18 x y

= 12 x^{2} y + 18 x y

f (g (3 x - 4))

\frac{1}{( x - 1 ) ^{4}}

y (1 + x^{2}) y^{'} (x) - x (1 + y^{2})

\frac{x}{( x - 1 ) \cdot ( x + 3 )}

\frac{3}{( x ^{2} - 4 ) ( 2 - x )}

What is expand 3x(2y(2x+3)) ?
The solution to expand 3x(2y(2x+3)) is 12x^2y+18xy