Question

what's the product? (4m2 – 5)(4m2 + 5)

Answer 1

16m^4+20m^2-20m^2-25
Answer: 16m^4-25

Answer 2

Answer:

The product of the given expression is:

               $16m^4-25$

Step-by-step explanation:

We are asked to find the product if two quadratic expressions which are given in terms of variable "m".

The expression is given by:

              $(4m^2-5)(4m^2+5)$

We could observe that the expression is given in the form of:

$(a-b)(a+b)$ which is simplified by the rule:

$(a-b)(a+b)=a^2-b^2------------(1)$

Here $a=4m^2\ and\ b=5$

Hence, by using the formula (1) we get:

$(4m^2-5)(4m^2+5)=(4m^2)^2-5^2\\\\\\(4m^2-5)(4m^2+5)=16m^4-25$

       The product is:

          $16m^4-25$