What is expand 9(x+Δx)^2 ?

The solution to expand 9(x+Δx)^2 is 9x^2+18Δx^2+9Δ^2x^2

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expand 9(x+Δx)^2

expand

9 (x + Δ x)^{2}

9 x^{2} + 18Δ x^{2} + 9 Δ^{2} x^{2}

Solution steps

9 (x + Δ x)^{2}

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

= 9 (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Distribute parentheses

= 9 x^{2} + 9 \cdot 2Δ x^{2} + 9 Δ^{2} x^{2}

Multiply the numbers:

9 \cdot 2 = 18

= 9 x^{2} + 18Δ x^{2} + 9 Δ^{2} x^{2}

2 (t + t^{2} + 2 e^{2 t})

2 [(2 p - q) d]

- \frac{5 ( 2 - x )}{7}

(x - 1) (x + 5 = 3)

(5 x + y = 8,) (2 x - y = - 1)

What is expand 9(x+Δx)^2 ?
The solution to expand 9(x+Δx)^2 is 9x^2+18Δx^2+9Δ^2x^2