Question

find the product of (2x+3)(2x-4)​

Answer 1

Given: $(2x+3)(2x-4)$

We have to find the product of$(2x+3)(2x-4)$

The given problem is solved in the following way;

$=>(2x+3)(2x-4)\\=>2x*2x-(2x*4)+3*2x-12\\=>4x^{2} -8x+6x-12\\=>4x^{2} -2x-12$

Now divide this equation by $2$

we get,

$=>2x^{2} -x-6\\=>2x^{2}-4x+3x-6\\=>2x(x-2)+3(x-2)\\=>(2x+3)or (x-2) \\\\=>x=\frac{-3}{2} or x=2$

Hence, the solution of the given equation are$\frac{-3}{2} or 2.$

Answer 2

Given that:- $(2x+3)(2x-4)$

As we have to find the product,

Apply the polynomial product method, which includes multiplying each term of the first polynomial by each term of the second polynomial to determine the product of any two polynomials.

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

$=>2x*2x-(2x*4)+3*2x-12$

$=>4x^{2} -8x+6x-12$

$=>4x^{2} -2x-12$

Now, by diving above equation by $2$ we get,

$=>2x^{2} -x-6$

$=>2x^{2} -4x+3x-6$

$=>2x(x-2)+3(x-2)$

$=>(2x+3) or (x-2)$

$=>x=\frac{-3}{2} orx=2$

The product of $(2x+3)(2x-4)$ is $\frac{-3}{2}$ and $2.$