What is expand 7(x+Δx)^2 ?

The solution to expand 7(x+Δx)^2 is 7x^2+14Δx^2+7Δ^2x^2

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expand 7(x+Δx)^2

expand

7 (x + Δ x)^{2}

7 x^{2} + 14Δ x^{2} + 7 Δ^{2} x^{2}

Solution steps

7 (x + Δ x)^{2}

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

= 7 (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Distribute parentheses

= 7 x^{2} + 7 \cdot 2Δ x^{2} + 7 Δ^{2} x^{2}

Multiply the numbers:

7 \cdot 2 = 14

= 7 x^{2} + 14Δ x^{2} + 7 Δ^{2} x^{2}

e^{x} (e^{1 + x} - e^{- 1 - x})

\frac{1}{60} \cdot 8 - \frac{1}{4} \cdot 4 + \frac{37}{30} \cdot 2

((2 x^{2} y - 2 y^{2} + 2 x y) d x + (x^{2} - 2 y) d y = 0) e^{2 x}

\frac{( x - 9 ) ( x + 1 ) ( x + 6 )}{( x + 8 ) ( x + 4 )}

What is expand 7(x+Δx)^2 ?
The solution to expand 7(x+Δx)^2 is 7x^2+14Δx^2+7Δ^2x^2