What is expand 7(x+Δx)^3 ?

The solution to expand 7(x+Δx)^3 is 7x^3+21Δx^3+21Δ^2x^3+7Δ^3x^3

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expand 7(x+Δx)^3

expand

7 (x + Δ x)^{3}

7 x^{3} + 21Δ x^{3} + 21 Δ^{2} x^{3} + 7 Δ^{3} x^{3}

Solution steps

7 (x + Δ x)^{3}

(x + Δ x)^{3} = x^{3} + 3Δ x^{3} + 3 Δ^{2} x^{3} + Δ^{3} x^{3}

= 7 (x^{3} + 3Δ x^{3} + 3 Δ^{2} x^{3} + Δ^{3} x^{3})

Distribute parentheses

= 7 x^{3} + 7 \cdot 3Δ x^{3} + 7 \cdot 3 Δ^{2} x^{3} + 7 Δ^{3} x^{3}

Multiply the numbers:

7 \cdot 3 = 21

= 7 x^{3} + 21Δ x^{3} + 21 Δ^{2} x^{3} + 7 Δ^{3} x^{3}

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

\frac{\partial}{\partial x} ((y) (5 x + 7 z))

(4 x^{2} - 2 x + 1)^{7}

\frac{5 x - 1}{2 x - 3}

x^{2} + y^{2} - 5 - (y + x y) \frac{d y}{d x}

What is expand 7(x+Δx)^3 ?
The solution to expand 7(x+Δx)^3 is 7x^3+21Δx^3+21Δ^2x^3+7Δ^3x^3