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Popular >

expand (3x-4y=4,)(5x-2y=9)

Solution

expand

(3 x - 4 y = 4,) (5 x - 2 y = 9)

Solution

15 x^{2} - 6 x y = 9

Solution steps

(3 x - 4 y = 4,) (5 x - 2 y = 9)

= (3 x - 4 \cdot 4 =, y) (5 x - 2 \cdot 9 = y)

Apply FOIL method:

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

a = 3 x, b = - 4 y = 4,, c = 5 x, d = - 2 y = 9

= 3 x \cdot 5 x + 3 x (- 2 y = 9) + (- 4 y = 4,) \cdot 5 x + (- 4 y = 4,) (- 2 y = 9)

Apply minus-plus rules

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

3 \cdot 5 xx - 3 \cdot 2 x y = 9 - 4 y = 4, 5 x + 4 y = 4, 2 y = 9

Expand

3 \cdot 5 xx - 3 \cdot 2 x y : 15 x^{2} - 6 x y

15 x^{2} - 6 x y = 9

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Frequently Asked Questions (FAQ)

What is expand (3x-4y=4,)(5x-2y=9) ?
The solution to expand (3x-4y=4,)(5x-2y=9) is 15x^2-6xy=9