The factors of the expressions have been determined as ( x +10i) ( x -10i) , ( x +6i) (x-6i) , (4x + 3i) ( 4x - 3i)
What is an Expression ?
An expression is a mathematical statement consisting of variables , constants and mathematical operators .
The expression given in the question is
x² + 100
x² + 36
16x²2 +9
by the identity a² -b² = ( a+b)(a-b)
The expressions can be written as
( x² - ( 10i)²) , (x² - ( 6i)²) , ( (4x)² - ( 3i)²)
It is known that i² = -1
Therefore here the expressions can be written as
( x² - ( 10i)²) = ( x +10i) ( x -10i)
(x² - ( 6i)²) = ( x +6i) (x-6i)
( (4x)² - ( 3i)²) = (4x + 3i) ( 4x - 3i)
Therefore the factors of the expressions have been determined.
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