Question

121 -xsquare-ysquare -2xy by factorization method

Answer 1

Step-by-step explanation:

121 - x^2 -y^2 - 2xy

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

(11)^2 - ( x+ y) ^2

(11 - x- y) (11 + x + y)

hope this helps you....

Answer 2

Question:

Factorize:

$121 - {x}^{2} - {y}^{2} - 2xy$

Solution:

$121 - {x}^{2} - {y}^{2} - 2xy \\ 121 - ( {x}^{2} + {y}^{2} + 2xy) \\ {(11)}^{2} - {(x + y)}^{2} \\ (11 + x + y)(11 - x - y)$

Identities used:

$1.{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ 2.(a + b)(a - b) = {a}^{2} - {b}^{2}$

What are factors?

Factor is a algebraic expression or number that dived the other algebraic expression or number completely i.e. without leaving any remainder.

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