What is expand 4(x+dx)^2 ?

The solution to expand 4(x+dx)^2 is 4x^2+8xdx+4dx^2

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expand 4(x+dx)^2

expand

4 (x + d x)^{2}

4 x^{2} + 8 x d x + 4 d x^{2}

Solution steps

4 (x + d x)^{2}

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

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

Distribute parentheses

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

Multiply the numbers:

4 \cdot 2 = 8

= 4 x^{2} + 8 x d x + 4 d x^{2}

(4 m + 3) e^{3}

a ln (x) + (1 - a) ln (y)

\frac{2 ( 4 x + 3 )}{( x - 3 ) ( x + 7 )}

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

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