What is expand (2x+12x^3)(5x^3+3+ln(x)) ?

The solution to expand (2x+12x^3)(5x^3+3+ln(x)) is 10x^4+6x+2xln(x)+60x^6+36x^3+12x^3ln(x)

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expand (2x+12x^3)(5x^3+3+ln(x))

expand

(2 x + 12 x^{3}) (5 x^{3} + 3 + ln (x))

10 x^{4} + 6 x + 2 x ln (x) + 60 x^{6} + 36 x^{3} + 12 x^{3} ln (x)

Solution steps

(2 x + 12 x^{3}) (5 x^{3} + 3 + ln (x))

Distribute parentheses

= 2 x \cdot 5 x^{3} + 2 x \cdot 3 + 2 x ln (x) + 12 x^{3} \cdot 5 x^{3} + 12 x^{3} \cdot 3 + 12 x^{3} ln (x)

= 2 \cdot 5 x^{3} x + 2 \cdot 3 x + 2 x ln (x) + 12 \cdot 5 x^{3} x^{3} + 12 \cdot 3 x^{3} + 12 x^{3} ln (x)

Simplify

2 \cdot 5 x^{3} x + 2 \cdot 3 x + 2 x ln (x) + 12 \cdot 5 x^{3} x^{3} + 12 \cdot 3 x^{3} + 12 x^{3} ln (x) : 10 x^{4} + 6 x + 2 x ln (x) + 60 x^{6} + 36 x^{3} + 12 x^{3} ln (x)

= 10 x^{4} + 6 x + 2 x ln (x) + 60 x^{6} + 36 x^{3} + 12 x^{3} ln (x)

\frac{π + π e ^{- s}}{( s ^{2} + π ^{2} ) ( s ^{2} + 9 )}

(3 \cdot sin (20 π t) + sin (30 π t)) \cdot sin (100 π t)

(2 - 7) 2

\frac{5}{( x + 3 ) ^{2}}

\frac{4 x y}{( x + 2 ) ^{2}}

What is expand (2x+12x^3)(5x^3+3+ln(x)) ?
The solution to expand (2x+12x^3)(5x^3+3+ln(x)) is 10x^4+6x+2xln(x)+60x^6+36x^3+12x^3ln(x)