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Popular >

simplify ((x+Δx)^2-x^2)/(Δx)

Solution

simplify

\frac{( x + Δ x ) ^{2} - x ^{2}}{Δ x}

Solution

Δ x + 2 x

Solution steps

\frac{( x + Δ x ) ^{2} - x ^{2}}{Δ x}

Factor

(x + Δ x)^{2} - x^{2} : Δ x (Δ x + 2 x)

= \frac{Δ x ( Δ x + 2 x )}{Δ x}

Cancel

\frac{Δ x ( Δ x + 2 x )}{Δ x} : Δ x + 2 x

= Δ x + 2 x

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Frequently Asked Questions (FAQ)

What is ((x+Δx)^2-x^2)/(Δx) ?
The solution to ((x+Δx)^2-x^2)/(Δx) is Δx+2x