What is expand 4(x+dx)^3 ?

The solution to expand 4(x+dx)^3 is 4x^3+12x^2dx+12xdx^2+4dx^3

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expand 4(x+dx)^3

expand

4 (x + d x)^{3}

4 x^{3} + 12 x^{2} d x + 12 x d x^{2} + 4 d x^{3}

Solution steps

4 (x + d x)^{3}

(x + d x)^{3} = x^{3} + 3 x^{2} d x + 3 x d x^{2} + d x^{3}

= 4 (x^{3} + 3 x^{2} d x + 3 x d x^{2} + d x^{3})

Distribute parentheses

= 4 x^{3} + 4 \cdot 3 x^{2} d x + 4 \cdot 3 x d x^{2} + 4 d x^{3}

Multiply the numbers:

4 \cdot 3 = 12

= 4 x^{3} + 12 x^{2} d x + 12 x d x^{2} + 4 d x^{3}

(x y^{2} + x) d x + (y x^{2} + y) d y

A (- 2, 1) B (5, - 7)

(y + 1) d x + (4 x - 1) d y

\frac{1}{4 x ( 8 - 32 y + 56 z )}

\frac{1}{( x - 18 ) ^{2}}

What is expand 4(x+dx)^3 ?
The solution to expand 4(x+dx)^3 is 4x^3+12x^2dx+12xdx^2+4dx^3