What is expand 7(2xln(x^2+5)(x^2+5)-2x^3) ?

The solution to expand 7(2xln(x^2+5)(x^2+5)-2x^3) is 14x^3ln(x^2+5)+70xln(x^2+5)-14x^3

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expand 7(2xln(x^2+5)(x^2+5)-2x^3)

expand

7 (2 x ln (x^{2} + 5) (x^{2} + 5) - 2 x^{3})

14 x^{3} ln (x^{2} + 5) + 70 x ln (x^{2} + 5) - 14 x^{3}

Solution steps

7 (2 x ln (x^{2} + 5) (x^{2} + 5) - 2 x^{3})

Apply the distributive law:

a (b - c) = ab - a c

a = 7, b = 2 x ln (x^{2} + 5) (x^{2} + 5), c = 2 x^{3}

= 7 \cdot 2 x ln (x^{2} + 5) (x^{2} + 5) - 7 \cdot 2 x^{3}

Simplify

7 \cdot 2 x ln (x^{2} + 5) (x^{2} + 5) - 7 \cdot 2 x^{3} : 14 x^{3} ln (x^{2} + 5) + 70 x ln (x^{2} + 5) - 14 x^{3}

= 14 x^{3} ln (x^{2} + 5) + 70 x ln (x^{2} + 5) - 14 x^{3}

x^{2} + 2 x - 1 \cdot (x^{2} + 2 x - 1)

x (1 - x) (f \circ g) x (1 - x)

(x y^{2} + x) d x + y x^{2} d y

(2 c t + b) t

sin^{2} (x) - cos (x) \cdot (sin (x) - cos (x))

What is expand 7(2xln(x^2+5)(x^2+5)-2x^3) ?
The solution to expand 7(2xln(x^2+5)(x^2+5)-2x^3) is 14x^3ln(x^2+5)+70xln(x^2+5)-14x^3