Question

the product of 2x+5 and 2x-7 is _______​

Answer 1

Given,

Two algebraic expressions: (2x+5) and (2x-7)

To find,

The product of both the expressions.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If a, b, c, abd d are 4 variables, then,

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

{Statement-1}

Now, according to the question;

On multiplying the both given expressions, we get;

(2x+5) × (2x-7)

= (2x)(2x-7) + 5(2x-7)

{according to statement-1}

= 4x^2 - 14x + 10x - 35

= 4x^2 - 4x - 35

Hence, the product of both the given expressions is equal to (4x^2 - 4x - 35).