Question

Express the following as square of a binomial and evaluate for the given values


4x^2 + 12xy + 9y^2; x = -2, y = 2
​

Answer 1

Answer:

Step-by-step explanation:

Given that,

4x² + 12xy + 9y²

= ( 2x )² + 2 ( 2x ) ( 3y ) + ( 3y )²

= ( 2x + 3y )²

Given that,

x = - 2 and y = 2

On substituting x and y values

( 2x + 3y )²

= [ 2 × ( - 2 ) + 3 × ( 2 )]²

= ( - 4 + 6 )²

= ( 2 )²

= 4 is the answer.