Question

(2x-y)(3x+y)

A 6x^2 – xy – y^2
B 5x^2 – xy – y^2
C 6x^2 – xy – 2y^2
D 5x^2 – xy – 2y^2

Answer 1

For this case we must solve the following product:

`(2x-y) (3x + y) =`

We apply distributive property considering that:

`+ * + = +\\+ * - = -`

So:

`(2x) (3x) + (2x) (y) - (y) (3x) - (y) (y) =`

To multiply powers of the same base, the same base is placed and the exponents are added:

`6x^(1 + 1) + 2xy-3xy-y^(1 + 1) =`

Different signs are subtracted and the sign of the major is placed:

`6x ^ 2-xy-y ^ 2`

So, the solution is:
`6x ^ 2-xy-y ^ 2`

Answer:

Option A