Question

(2x + 3y – 4z)(3x - 2y)
1. 6x² + 5xy- 6y² - 12zx + 8yz
2. 6x² + 5xy+ 6y² - 12zx - 8yz
3. 6x² - 5xy+ 6y² + 12zx - 8yz
4. -6x² + 5xy-6y² - 12zx - 8yz

Answer 1

Solution,

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

= 6x² - 4xy + 9xy - 6y² - 12xz + 8yz

= 6x² + 5xy - 6y² - 12zx + 8yz

Right Answer is No. (1)

Answer 2

$= 3x(2x + 3y - 4z) - 2y(2x + 3y - 4z) \\ = 6x ^{2} + 9xy - 12xz - 4xy - 6y ^{2} + 8yz \\ = 6 {x}^{2} +5xy - 6 {y}^{2} - 12xz + 8yz$

So, The answer is

1. → 6x² + 5xy- 6y² - 12zx + 8yz

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