the product of (x-5y)^3 is a..

fill in the blank.

1. the 1st term equal to____

2. the 2nd term equal to_____

3. the 3rd term equal to___

4. the 4th term equal to____


Sagot :

Since the answer is x^3-125y^3-15x^2y+75xy^2
The leading term is:
1.x^3
and followed by the next terms:
2.-125y^3
3.-15x^2y
4.75xy^2
(x-5y)³=(x-5y)²(x-5y)
(x-5y)³=(x²-10xy+25y²)(x-5y)
(x-5y)³=x³-10x²y+25xy²-5x²y+50xy²-125y³
(x-5y)³=x³-15x²y+75xy²-125y³

The first term is x³
The 2nd term is -15x²y
The 3rd term is 75xy²
The 4th term is -125y³

Hope this helps =)