Question

16. Using the proper identity, find the product (x+y)(x_y)(x²+y²)​

Answer 1

Answer:

(x+y) (x-y) (x^2+y^2)

=(x^2-y^2) (x^2+y^2)

=x^4-y^4

^ - This represents power

So, don't be confused

Answer 2

Question:-

Identify the product using suitable property

$(x + y)(x - y)( {x}^{2} + {y}^{2} )$

Identities used:-

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

Solution:-

Given,

$(x - y)(x + y)( {x}^{2} + {y}^{2} )$

So, by identify

$( {x}^{2} - {y}^{2} )( {x}^{2} + {y}^{2} )$

By the same identity

$( {x}^{2})^{2} - ( {y}^{2})^{2}$

$= {x}^{4} - {y}^{4}$