What is expand (3x+2y=20,)(8x+4y=45) ?

The solution to expand (3x+2y=20,)(8x+4y=45) is 24x^2+12xy=45

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expand (3x+2y=20,)(8x+4y=45)

expand

(3 x + 2 y = 20,) (8 x + 4 y = 45)

24 x^{2} + 12 x y = 45

Solution steps

(3 x + 2 y = 20,) (8 x + 4 y = 45)

= (3 x + 2 \cdot 20 =, y) (8 x + 4 \cdot 45 = y)

Apply FOIL method:

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

a = 3 x, b = 2 y = 20,, c = 8 x, d = 4 y = 45

3 x \cdot 8 x + 3 x \cdot 4 y = 45 + 2 y = 20, 8 x + 2 y = 20, 4 y = 45

3 \cdot 8 xx + 3 \cdot 4 x y = 45 + 2 y = 20, 8 x + 2 y = 20, 4 y = 45

Expand

3 \cdot 8 xx + 3 \cdot 4 x y : 24 x^{2} + 12 x y

24 x^{2} + 12 x y = 45

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What is expand (3x+2y=20,)(8x+4y=45) ?
The solution to expand (3x+2y=20,)(8x+4y=45) is 24x^2+12xy=45