Question

Rewrite worth out parentheses and simplify(2y-9x)^2

Answer 1

Given: An expression

`(2y-9x)^2`

Required: To simplify the expression.

Explanation: Recall the algebraic identity-

`(a-b)^2=a^2+b^2-2ab`

Using the identity, we can simplify it as follows-

`(2y-9x)^2=(2y)^2+(9x)^2-2(2y)(9x)`

Further simplifying-

`=4y^2+81x^2-36xy`

Final Answer: The simplified expression is-

`4y^2+81x^2-36xy`