Question

10x² + 6xy + y², 9x² - y² Subtract the given expressions.

Answer 1

Given expressions.

10x² + 6xy + y² and 9x² - y².

Let the 10x² + 6xy + y² be ex(i),

& 9x² - y² be ex(ii).

On Subtracting expression (ii) from ex(i).

10x² + 6xy + y² - (9x² - y²).

= 10x² + 6xy + y² - 9x² + y².

= x² + 2y² + 6xy

Hence, the answer when the given expressions are subtracted is x² + 2y² + 6xy.

Hope it helps.

Answer 2

Hi ,

i ) Subtracting second expression

from first

10x² + 6xy + y² - ( 9x² - y² )

= 10x² + 6xy + y² - 9x² + y²

= ( 10 - 9 )x² + 6xy + ( 1 + 1 ) y²

= x² + 6xy + 2y²

ii ) Subtracting first expression from

Second ,

9x² - y² - ( 10x² + 6xy + y² )

= 9x² - y² - 10x² - 6xy - y²

= ( 9 - 10 )x² - ( 1 + 1 )y² - 6xy

= -x² - 2y² - 6xy

I hope this helps you.

: )