Question

Express the 4x²+12xy+9y² as square of a binomial and evaluate for x=-2, y=2 send full solution or pic​

Answer 1

Answer:

(2x + 3y ) ^2

Step-by-step explanation:

x = -2

y = 2

4(-2)^2 + 12 (-2)(2) + 9 (2)^2

16 - 48 + 36

4.

Verification :-

(2x + 3y)^2

(2(-2) + 3 (2)) ^2

(-4 + 6) ^2

2^2

4

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Answer 2

(a+b)² = a²+2ab+b²

so, 4x²+12xy+9y² can be written as

= (2x)²+2(2x)(3y)+(3y)²

= (2x+3y)²

if x = -2 & y = 2 , then

= (2(-2)+3(2))²

= (-4+6)²

= (2)²

= 4