Question

pls solve this for me ...... you have to use standard identities and even mention the identity !!!!

Answer 1

Answer:

b²(a² + c²)

Step-by-step explanation:

Given Equation is (ab + bc)² - 2ab²c

We know that (a + b)² = a² + b² + 2ab.

= (ab)² + (bc)² + 2(ab)(bc) - 2ab²c

= a²b² + b²c² + 2ab²c - 2ab²c

= a²b² + b²c²

= b²(a² + c²).

Hope it helps!

Answer 2

Answer:

Step-by-step explanation:

=(ab)^2 + (bc)^2 + 2(ab)(bc) - 2 ab^2 c [using (a+b)^2 formula]

=a^2 b^2 + b^2 c^2 + 2ab^2c - 2ab^2 c

= a^2 b^2 + b^2 c^2

= b^2 (a^2 + c^2) [taking b^2 as common]

that's the solution, i doubt that the answer has to be further simplified :-)