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Popular >

factor (x+Δx)3-x^3

Solution

factor

(x + Δ x) 3 - x^{3}

Solution

x (3 (1 + Δ) - x^{2})

Solution steps

(x + Δ x) \cdot 3 - x^{3}

Factor

x + Δ x : x (Δ + 1)

= 3 (Δ + 1) x - x^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} = x x^{2}

= 3 x (1 + Δ) - x x^{2}

Factor out common term

x

= x (3 (1 + Δ) - x^{2})

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Frequently Asked Questions (FAQ)

What is factor (x+Δx)3-x^3 ?
The solution to factor (x+Δx)3-x^3 is x(3(1+Δ)-x^2)