HELP!! RLLY EASY HELP I WILL MAKE 5 STARS AND BRAINLY IF CORRECT!
1 answer:
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Answer:
25x² + 144 = (5x + 12i) (5x - 12i).
Step-by-step explanation:
We have to factorize the expression 25x² + 144, using the complex number.
Now, can be treated as the complex number as there is negative value with in square root.
So,
Therefore, we can write the original expression as
25x² + 144
= 25x² - (i²)(144)
= (5x)² - (12i)²
= (5x + 12i) (5x - 12i)
So, the factorization is 25x² + 144 = (5x + 12i) (5x - 12i). (Answer)