Question

Question 3 Write the general term in the expansion of (x^2 – y)^6

Class X1 - Maths -Binomial Theorem Page 171

Answer 1

we know,
General term of expansion (X + Y)ⁿ is $T_{r+1}= ^nC_rX^{n-r}Y^r$
Here,
Given, (x² - y)⁶
Let X = x²
Y = -y
Now,
$T_{r+1}= ^6C_r(x^2)^{6-r}(-y)^r\\= ^6C_rx^{12-2r}(-1)^ry^r\\= ^6C_rx^{12-2r}y^r(-1)^r$