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Popular >

expand c^2(Δx+c)^2

Solution

expand

c^{2} (Δ x + c)^{2}

Solution

Δ^{2} c^{2} x^{2} + 2Δ c^{3} x + c^{4}

Solution steps

c^{2} (Δ x + c)^{2}

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

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

Distribute parentheses

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

= Δ^{2} c^{2} x^{2} + 2Δ c^{2} c x + c^{2} c^{2}

Simplify

Δ^{2} c^{2} x^{2} + 2Δ c^{2} c x + c^{2} c^{2} : Δ^{2} c^{2} x^{2} + 2Δ c^{3} x + c^{4}

= Δ^{2} c^{2} x^{2} + 2Δ c^{3} x + c^{4}

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Frequently Asked Questions (FAQ)

What is expand c^2(Δx+c)^2 ?
The solution to expand c^2(Δx+c)^2 is Δ^2c^2x^2+2Δc^3x+c^4