4x²-12xy+9y²
resolve it into factors
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4x²-12xy+9y²
4x²-6xy-6xy+9y²
2x(2x-3y) - 3y(2x-3y)
(2x-3y)(2x-3y)
(2x-3y)²
Answered by
11
We have to factorise 4x² - 12xy + 9y².
By Identity:-
4x² - 12xy + 9y²
= (2x)² + (3y)² - 2(2x)(3y)
= (2x - 3y)²
= (2x - 3y)(2x - 3y) Ans.
Identity used: a² - 2ab + b² = (a - b)²
By Splitting the mid-term:-
4x² - 12xy + 9y²
= 4x² - (6 + 6)xy + 9y²
= 4x² - 6xy - 6xy + 9y²
= 2x(2x - 3y) - 3y(2x - 3y)
= (2x - 3y)(2x - 3y) Ans.
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