What is expand (4x-2y=2,3)(-x+3y=4) ?

The solution to expand (4x-2y=2,3)(-x+3y=4) is -4x^2+12xy=4

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expand (4x-2y=2,3)(-x+3y=4)

expand

(4 x - 2 y = 2, 3) (- x + 3 y = 4)

- 4 x^{2} + 12 x y = 4

Solution steps

(4 x - 2 y = 2, 3) (- x + 3 y = 4)

= (4 x - 2 \cdot 2 \cdot 3 =, y) (- x + 3 \cdot 4 = y)

Apply FOIL method:

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

a = 4 x, b = - 2 y = 2, 3, c = - x, d = 3 y = 4

4 x (- x) + 4 x \cdot 3 y = 4 + (- 2 y = 2, 3) (- x) + (- 2 y = 2, 3) \cdot 3 y = 4

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

- 4 xx + 4 \cdot 3 x y = 4 + 2 y = 2, 3 x - 2 y = 2, 3 \cdot 3 y = 4

Expand

- 4 xx + 4 \cdot 3 x y : - 4 x^{2} + 12 x y

- 4 x^{2} + 12 x y = 4

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

25 (z - 1) (z - e^{- 5 T})

\frac{d}{d x} ((t) (t - 2) e^{t})

\frac{5 ( x + 20 )}{2}

d (3 e^{x} + 1)

What is expand (4x-2y=2,3)(-x+3y=4) ?
The solution to expand (4x-2y=2,3)(-x+3y=4) is -4x^2+12xy=4