What is expand 3(x+Δx)^2 ?

The solution to expand 3(x+Δx)^2 is 3x^2+6Δx^2+3Δ^2x^2

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expand 3(x+Δx)^2

expand

3 (x + Δ x)^{2}

3 x^{2} + 6Δ x^{2} + 3 Δ^{2} x^{2}

Solution steps

3 (x + Δ x)^{2}

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

= 3 (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Distribute parentheses

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

Multiply the numbers:

3 \cdot 2 = 6

= 3 x^{2} + 6Δ x^{2} + 3 Δ^{2} x^{2}

3 (x + 2 = 5)

\frac{( x - 1 ) ^{2}}{x}

(x + 3)^{2}

\frac{( s + 2 ) ^{2}}{s ^{3}}

ln (ab)

What is expand 3(x+Δx)^2 ?
The solution to expand 3(x+Δx)^2 is 3x^2+6Δx^2+3Δ^2x^2