What is expand 10(x+Δx)^2 ?

The solution to expand 10(x+Δx)^2 is 10x^2+20Δx^2+10Δ^2x^2

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expand 10(x+Δx)^2

expand

10 (x + Δ x)^{2}

10 x^{2} + 20Δ x^{2} + 10 Δ^{2} x^{2}

Solution steps

10 (x + Δ x)^{2}

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

= 10 (x^{2} + 2Δ x^{2} + Δ^{2} x^{2})

Distribute parentheses

= 10 x^{2} + 10 \cdot 2Δ x^{2} + 10 Δ^{2} x^{2}

Multiply the numbers:

10 \cdot 2 = 20

= 10 x^{2} + 20Δ x^{2} + 10 Δ^{2} x^{2}

(x + 2 i)^{3}

\frac{2 ( x ^{4} - 3 x ^{2} )}{( x ^{2} - 1 ) ^{2}}

\frac{1}{( 3 + n ) ^{2}}

5 (y - 10 = - 5)

What is expand 10(x+Δx)^2 ?
The solution to expand 10(x+Δx)^2 is 10x^2+20Δx^2+10Δ^2x^2