Question

Simplify: (4.5a + 1.5b)2 + (4.5b + 1.5a)2
Solution:​

Answer 1

Step-by-step explanation:

The given expression is (4.5a + 1.5b)2 + (4.5b + 1.5a)2 We have, (4.5a + 1.5b)2 = (4.5a)2 + 2(4.5a)(1.5b) + (1.5b)2 and (4.5b + 1.5a)2 = (4.5b)2 + 2(4.5b)(1.5a) + (1.5a)2 Therefore, (4.5a + 1.5b)2 + (4.5b + 1.5a)2 = (4.5a)2 + 2(4.5a)(1.5b) + (1.5b)2 + (4.5b)2 + 2(4.5b)(1.5a) + (1.5a)2 = (4.5)2(a2 + b2) + 2.2(4.5)(1.5)ab + (1.5)2(a2 + b2) = (a2 + b2)( (4.5)2 + (1.5)2) + 27ab = 22.5(a2 + b2) + 27ab