What is expand 3(2+Δx)^2 ?

The solution to expand 3(2+Δx)^2 is 12+12Δx+3Δ^2x^2

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expand 3(2+Δx)^2

expand

3 (2 + Δ x)^{2}

12 + 12Δ x + 3 Δ^{2} x^{2}

Solution steps

3 (2 + Δ x)^{2}

(2 + Δ x)^{2} = 4 + 4Δ x + Δ^{2} x^{2}

= 3 (Δ^{2} x^{2} + 4Δ x + 4)

Distribute parentheses

= 3 \cdot 4 + 3 \cdot 4Δ x + 3 Δ^{2} x^{2}

Multiply the numbers:

3 \cdot 4 = 12

= 12 + 12Δ x + 3 Δ^{2} x^{2}

\frac{1}{3} (\frac{e ^{\frac{x}{3}} H ( x )}{3} + e^{\frac{x}{3}} u^{'} (x) x)

(x^{2} - y^{2}) (e^{- x^{2} - y^{2}})

e^{\frac{x}{3}} (x^{2} - x - 2)

\frac{1}{( x ^{4} + 1 ) ^{2}}

(x - 2) (\cdot + 2)