What is expand (x-y=3,y)(2x+4y=9) ?

The solution to expand (x-y=3,y)(2x+4y=9) is 2x^2+4xy=9

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expand (x-y=3,y)(2x+4y=9)

expand

(x - y = 3, y) (2 x + 4 y = 9)

2 x^{2} + 4 x y = 9

Solution steps

(x - y = 3, y) (2 x + 4 y = 9)

= (x - 3 =, yy) (2 x + 4 \cdot 9 = y)

Apply FOIL method:

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

a = x, b = - y = 3, y, c = 2 x, d = 4 y = 9

x \cdot 2 x + x \cdot 4 y = 9 + (- y = 3, y) \cdot 2 x + (- y = 3, y) \cdot 4 y = 9

Apply minus-plus rules

+ (- a) = - a

2 xx + 4 x y = 9 - y = 3, 2 x y - y = 3, 4 yy = 9

Expand

2 xx + 4 x y : 2 x^{2} + 4 x y

2 x^{2} + 4 x y = 9

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e^{4 x} (4 sin (x) + cos (x))

What is expand (x-y=3,y)(2x+4y=9) ?
The solution to expand (x-y=3,y)(2x+4y=9) is 2x^2+4xy=9