Question

if 4x^(2)+12xy-8x+9y^(2)-12y=(ax+by)(ax+by-4) what is the value of a^(2)+b^(2)

Answer 1

Answer:

4x2 + 12xy – 8x + 9y2– 12y = (ax + by) (ax + by – 4)

(2x)2 + 2 x 2X x 3y – 8x + (3y)2 – 12y = (ax + by) (ax + by – 4)

(2x + 3y)2 – 4(2x + 3y) = (ax + by) (ax + by – 4)

(2x + 3y) (2x + 3y – 4) = (ax + by) (ax + by – 4)

Comparing on both side,

Then, a = 2  & b = 3

The value of a2 + b2 = 22 + 32

= 2 x 2 + 3 x 3

= 4 + 9

= 13

Hence, the answer is (1) 13.

Step-by-step explanation: