Question

write the coefficient of y in the expansion of (3-y)²​

Answer 1

write the coefficient of y in the expansion of (3-y)²

answer is -1

Answer 2

The coefficient of y in the given expression is -6.

Given:

an expression: (3 - y)²​

To Find:

we need to find the coefficient of y in the given expression

Solution:

we know the following algebraic identity -

(a - b)² = a² + b² - 2ab

now, in the given expression, we have -

a = 3 and b = y

thus, (3 - y)²​ = 3² + y² - 2(3y)

= 9 + y² - 6y

as we can see the y term in the expression is -6y

here, the coefficient will be -6

Thus, the coefficient of y in the given expression comes out to be -6.

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