Question

applying a suitable identity find the product of ( x - y),(x+y)&(x square + y square)​

Answer 1

Answer:

$12 \times 2 = (7 + 5 ) \times (7 - 5) = 49 - 25 = 24$

Answer 2

The product of $(x -y), (x+y) and (x^{2} + y^{2})$ is "$x^{4} - y^{4}$".

Step-by-step explanation:

We have,

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

∴  The product of $(x -y)(x+y)(x^{2} + y^{2})$

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

[∵ $(a -b)(a +b)=a^{2} -b^{2}$ ]

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

[∵ $(a -b)(a +b)=a^{2} -b^{2}$ ]

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

Hence, the product of $(x -y), (x+y) and (x^{2} + y^{2})$ is $x^{4} - y^{4}$.