Question

125 x cube - 27 y cube - 225x square y+135xy square ​

Answer 1

Answer:

hiiii mate ur answer is ....(5x-3y)^3

.... hope it's helpful...

Answer 2

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.

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