36x²+24xy+4y²-25z²:Factorise
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Answered by
1
Answer:
6x + 2y - 5z
Step-by-step explanation:
Given,
36x^2 + 24xy + 4y^2 - 25z^2
= 36x^2 + 4y^2 - 25z^2 + 24xy
= (6x)^2 + (2y)^2 + (-5z)^2 + 2(6x)(4y)
since a + b + c = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
whereas : a = 6x ; b = 2y and c = -5z.
= [6x + 2y + (-5z)]^2.........ANSWER
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