What is expand 4(x+Δx)^2 ?

The solution to expand 4(x+Δx)^2 is 4x^2+8Δx^2+4Δ^2x^2

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expand 4(x+Δx)^2

expand

4 (x + Δ x)^{2}

4 x^{2} + 8Δ x^{2} + 4 Δ^{2} x^{2}

Solution steps

4 (x + Δ x)^{2}

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

= 4 (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Distribute parentheses

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

Multiply the numbers:

4 \cdot 2 = 8

= 4 x^{2} + 8Δ x^{2} + 4 Δ^{2} x^{2}

\frac{( x ^{2} ( x + 1 ) ^{3} )}{( x - 2 ) ^{2} ( x - 4 ) ^{4}}

(v + d v)^{3}

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

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

i (x + i y)^{2}

What is expand 4(x+Δx)^2 ?
The solution to expand 4(x+Δx)^2 is 4x^2+8Δx^2+4Δ^2x^2