The factor of the given expression will be equal to ( 4m - 3n ) ( 4m - 3n )
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression is:- 16m² – 24mn + 9n²
= 16m² – 24mn + 9n²
By using the algebraic identity:-
a² - 2ab + b² = ( a - b )²
Now from the given equation, we can convert it as:-
= 16m² – 24mn + 9n²
= ( 4m )² - 2 ( 4m ) ( 3n ) + ( 3n )²
So a = 4m and b = 3n
We can write the above equation as
= ( 4m - 3n )²
= ( 4m - 3n ) ( 4m - 3n )
Therefore factor of the given expression will be equal to
( 4m - 3n ) ( 4m - 3n )
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