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Popular >

expand 5(1+Δt)^2

Solution

expand

5 (1 + Δ t)^{2}

Solution

5 + 10Δ t + 5 Δ^{2} t^{2}

Solution steps

5 (1 + Δ t)^{2}

(1 + Δ t)^{2} = 1 + 2Δ t + Δ^{2} t^{2}

= 5 (Δ^{2} t^{2} + 2Δ t + 1)

Distribute parentheses

= 5 \cdot 1 + 5 \cdot 2Δ t + 5 Δ^{2} t^{2}

Simplify

5 \cdot 1 + 5 \cdot 2Δ t + 5 Δ^{2} t^{2} : 5 + 10Δ t + 5 Δ^{2} t^{2}

= 5 + 10Δ t + 5 Δ^{2} t^{2}

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Frequently Asked Questions (FAQ)

What is expand 5(1+Δt)^2 ?
The solution to expand 5(1+Δt)^2 is 5+10Δt+5Δ^2t^2