Question

Evaluate this with appropriate identities-:
(a²+b²)²​

Answer 1

Answer:

(a^2+b^2)^2

Identity=(a+b)^2=a^2+2ab+b^2

explaination---(a^2)^2+2(a^2)(b^2)+(b^2)^2

so,. a^4+2a^2b^2+b^4

...^2 means number raise to power of two.

Hope this will help you

Step-by-step explanation:

TAKE CARE

Answer 2

Answer:

(a^2 + b^2)^2 is the same as saying (a^2 + b^2)(a^2 + b^2)

When we FOIL the two binomials, we get:

a^4 + a^2b^2 + a^2b^2 + b^4

After simplifying,we get the solution:

a^4 + 2a2b2 + b^4

Step-by-step explanation:

(a^2 + b^2)^2

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

(a^2 + b^2)^2 = (a^2 + b^2)(a^2 + b^2)

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

(a^2 + b^2)(a^2 + b^2) = (a^2 · a^2) + (a^2 · b^2) + (b^2 · a^2) + (b^2 · b^2)

= (a^2+2) + (a^2b^2) + (a^2b^2) + (b^2+2)

= a^4 + 2a2b2 + b^4

^This sign means square.