express 9x^2-12xy+4y^2 as prefect square
Answers
Answer:
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Step-by-step explanation:
9x^2 - 12xy + 4y^2
We can write :-
9x^2 = (3x)^2
12xy = 2×(3x)(2y)
4y^2 = (2y)^2
So, we can write above equation as,
(3x)^2 - 2×(3x)(2y) + (2y)^2
As we know,
a^2 - 2ab + b^2 = ( a - b )^2
So, we can also write above equation as,
(3x)^2 - 2×(3x)(2y) + (2y)^2 = ( 3x - 2y )^2
( 3x - 2y )^2 Answer