What is expand (4x^2y+2x)(3abc-defx) ?

The solution to expand (4x^2y+2x)(3abc-defx) is 12abcx^2y-4dex^3yf+6abcx-2dex^2f

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expand (4x^2y+2x)(3abc-defx)

expand

(4 x^{2} y + 2 x) (3 ab c - d e f x)

12 ab c x^{2} y - 4 d e x^{3} y f + 6 ab c x - 2 d e x^{2} f

Solution steps

(4 x^{2} y + 2 x) (3 ab c - d e f x)

= (4 x^{2} y + 2 x) (3 ab c - d e x f)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 4 x^{2} y, b = 2 x, c = 3 ab c, d = - d e f x

= 4 x^{2} y \cdot 3 ab c + 4 x^{2} y (- d e f x) + 2 x \cdot 3 ab c + 2 x (- d e f x)

Apply minus-plus rules

+ (- a) = - a

= 4 \cdot 3 ab c x^{2} y - 4 d e x^{2} x y f + 2 \cdot 3 ab c x - 2 d e xx f

Simplify

4 \cdot 3 ab c x^{2} y - 4 d e x^{2} x y f + 2 \cdot 3 ab c x - 2 d e xx f : 12 ab c x^{2} y - 4 d e x^{3} y f + 6 ab c x - 2 d e x^{2} f

= 12 ab c x^{2} y - 4 d e x^{3} y f + 6 ab c x - 2 d e x^{2} f

\frac{81 ( n + 1 ) ^{2}}{4 n ^{2}}

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

(1 + ln (x)) d x + (1 + ln (y)) d y

\frac{x + 8}{( x - 5 ) ( x + 5 )}

cos (2) (π - x)

What is expand (4x^2y+2x)(3abc-defx) ?
The solution to expand (4x^2y+2x)(3abc-defx) is 12abcx^2y-4dex^3yf+6abcx-2dex^2f