125 x cube - 27 y cube - 225x square y+135xy square
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Answer:
hiiii mate ur answer is ....(5x-3y)^3
.... hope it's helpful...
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The factorised form is (5x - 3y)³.
Given: 125x³ - 27y³ -225x²y + 135xy²
To find: factorised form of the given polynomial
Solution:
We are given,
P= 125x³ - 27y³ -225x²y + 135xy²
We can see that this resembles the expansion of (a-b)³
(a-b)³ = a³ - b³ - 3ab(a - b)
(a-b)³ = a³ - b³ - 3a²b + 3ab²
Keeping a = 5x and b = 3y, we get
(5x - 3y)³ = (5x)³ - (3y)³ - 3(5x)²(3y) + 3(5x)(3y)²
(5x - 3y)³ = 125x³ - 27y³ - 225x²y + 135xy²
Clearly, this is the polynomial that was given.
⇒ 125x³ - 27y³ - 225x²y + 135xy² can be factorised as (5x - 3y)³ Answer.
SPJ2
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