What is expand 5(x+Δx)^2 ?

The solution to expand 5(x+Δx)^2 is 5x^2+10Δx^2+5Δ^2x^2

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expand 5(x+Δx)^2

expand

5 (x + Δ x)^{2}

5 x^{2} + 10Δ x^{2} + 5 Δ^{2} x^{2}

Solution steps

5 (x + Δ x)^{2}

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

= 5 (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Distribute parentheses

= 5 x^{2} + 5 \cdot 2Δ x^{2} + 5 Δ^{2} x^{2}

Multiply the numbers:

5 \cdot 2 = 10

= 5 x^{2} + 10Δ x^{2} + 5 Δ^{2} x^{2}

\frac{x ^{2}}{4 π} + \frac{( 57 - x ) ^{2}}{16}

e^{x} (e^{x} - 1)

\frac{4}{x ( x + 17 )}

\frac{3 x - 2}{( x - 5 ) ( x ^{2} + 1 )}

(x + 1) (- x - 1 - \frac{2}{x + 1})

What is expand 5(x+Δx)^2 ?
The solution to expand 5(x+Δx)^2 is 5x^2+10Δx^2+5Δ^2x^2