(5x – 3y)³
expand the following
Answers
Answered by
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
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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