Question

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

Answer 1

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

Answer 2

The product of the given expression is:

`16m^4-25`

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`