Question

4. If 4x - y is a multiple of 3 then 4x² + 7xy-2y² is equal to
please do it in subjective point of view

solve it then I will mark you as a brainlist​

Answer 1

Answer:

9

Step-by-step explanation:

Given,

4x - y is a multiple of 3.

So,

Let 4x - y = 3k {k is some constant} --- (1)

Now,

4x² + 7xy-2y²

=> 4x^2 + 8xy - xy - 2y^2

=> 4x(x + 2y) - y(x + 2y)

=> (4x - y)(x + 2y)

From (1), The above equation can be written as,

=> (3k)(x + 2(4x - 3k))

=> (3k)(x + 8x - 6k)

=> 3k(9x - 6k)

=> 9k(3x - 2k)

Here, 9 is the only number which divides the polynomial for all values of x and y.

Therefore,

The smallest number is 9.

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