Question

A^4+2a^2b+b^2 разложите​

Answer 1

${a}^{4} + 2 {a}^{2}b + {b}^{2} = \\ = {( {a}^{2} + b)}^{2} = \\ = ( {a}^{2} + b)( {a}^{2} + b)$

Answer 2

To factor the expression A^4 + 2a^2b + b^2, we can use the formula for factoring a perfect square trinomial:

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

In this case, our expression is similar to a perfect square trinomial with the variable A^2 playing the role of "a" and "b" being the constant b. Therefore, we can factor it as follows:

A^4 + 2a^2b + b^2 = (A^2 + b)^2

So, the factored form of the expression is (A^2 + b)^2.