Question

simplificar (√x+√y)(√x-√y)

Answer 1

Step-by-step explanation:

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Answer 2

Concept:

Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. In order to compute algebraic expressions and solve various polynomials, algebraic identities are applied in this manner.

(x + y)² = x³ + y³ + 2xy

(x – y)³ = x³ + y³ – 2xy

x³ – y³ = (x + y) (x – y)

(x + a) (x + b) = x³ + (a + b)x + ab ; a and b are two constant values

(x + y)³ = x³ + y³ + 3xy(x + y)

(x – y)³ = x³ – y³ – 3xy(x – y)

Given:

(√x+√y)(√x-√y)

Find:

Simplify :(√x+√y)(√x-√y)

Solution:

(√x+√y)(√x-√y)

Using algebraic identity, a² - b² = (a+b)(a-b)

= (√x)² - (√y)²

=x-y

Therefore, the answer is x-y

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