Question

simplify the following using the identity (a+b)^2
1. (a+2b)^2
2. (3b+c)^2
3. (a^2+b^2)^2

Answer 1

Answer:

1. (a+ b)²= a²+b²+2ab

(a+2b)²= a²+ 4b²+ 4ab

2. same formula as in 1

( 3b +c)² = 9b²+ c²+ 18bc

3. a⁴+b⁴+ 2(a²b²) 2

a⁴+b⁴+ 4a²b2