Question

Multiply :-

a) (x + y - xy) by (1 - xy)
b) 3a² - 7b² by 2a²b + ab²
c) (y² + 2y + 3) by (y² + 2y - 3)


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Answer 1

Answer:

a ) x²y² - x²y - xy² - xy + x + y

b ) 6a⁴b + 3a³b² - 14a²b³ - 7ab³

c ) y⁴ + 4y³ + 4y² - 9

Explanation:

a )

( x + y - xy ) ( 1 - xy )

= 1 ( x + y - xy ) - xy ( x + y - xy )

= x + y - xy - x²y - xy² + x²y²

= x²y² - x²y - xy² - xy + x + y

b )

( 3a² - 7b² ) ( 2a²b + ab² )

= 3a² ( 2a²b + ab² ) - 7b² ( 2a²b + ab² )

= 6a⁴b + 3a³b² - 14a²b³ - 7ab³

c )

( y² + 2y + 3 ) ( y² + 2y - 3 )

= y² ( y² + 2y - 3 ) + 2y ( y² + 2y - 3 ) + 3 ( y² + 2y - 3 )

= y⁴ + 2y³ - 3y² + 2y³ + 4y² - 6y + 3y² + 6y - 9

= y⁴ + 2y³ + 2y³ - 3y² + 3y² + 4y² + 6y - 6y - 9

= y⁴ + 4y³ + 4y² + 0 - 9

= y⁴ + 4y³ + 4y² - 9

Answer 2

Shivi ji....

Really sorry.....