Search 72,285 tutors FIND TUTORS
Search for tutors
Ask a question
0 0

(a2+b2)2 please solve it

Tutors, please sign in to answer this question.

2 Answers

     (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

(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