Math, asked by souravdas33, 1 year ago

(5x – 3y)³
expand the following​

Answers

Answered by rakhic23
69

Answer:

By using idenity (x-y)^3

(5x)^3 - (3y)^3 - 3(5x)(3y)(5x-3y)

125x^3 - 27y^3 - 45xy(5x-3y)

125x^3 - 27y^3 - 225x^2y + 135xy^2

Step-by-step explanation:


rakhic23: The final answer is in the last line
Answered by Anonymous
45

To expand

( 5x - 3y)³

UsE Identity to expand it .

( a - b)³

And (a - b)³ = a³ - 3a²b + 3ab² - b³

Now Here A = 5x

And B = 3y

  • Now putting value of A & B in the identity

(5x - 3y)³

= (5x)³ - 3(5x)²(3y) + 3(5x)(3y)² - (3y)³

= 125x³ + 3(25x²)(3y) + 3(5x)(9y²) - 27y³

= 125x³ + 225x²y + 105y²x - 27y³

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