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posledela
3 years ago
12

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

Mathematics
2 answers:
kolbaska11 [484]3 years ago
8 0
16m^4+20m^2-20m^2-25
Answer: 16m^4-25
Monica [59]3 years ago
8 0
<h2>Answer:</h2>

The product of the given expression is:

               16m^4-25

<h2>Step-by-step explanation:</h2>

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

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