(a2+b2)2 please solve it

Question

Please solve it step by step

Answer 1

(a² + b²)² is the same as saying (a² + b²)(a² + b²)

When we FOIL the two binomials, we get:

a⁴ + a²b² + a²b² + b⁴

After simplifying,we get the solution:

a⁴ + 2a²b² + b⁴

 

Answer 2

     (a² + b²)² 

Notice that the binomial is being squared, so it expands to the following expression:

     (a² + b²)² = (a² + b²)(a² + b²)

By the distributive property, while applying the product of exponents with like bases and combining like terms, we arrive at the following:

     (a² + b²)(a² + b²) = (a² · a²)  +  (a² · b²)  +  (b² · a²)  +  (b² · b²)

                                = (a²⁺²) + (a²b²) + (a²b²) + (b²⁺²)

                                = a⁴ + 2a²b² + b⁴