Question

A(x)=2xy+6x-7y     B(x)=3y+6xy-8x

M(x)=A(x)-B(x)       N(x)=B(x)+A(x)

Answer 1

`M(x)=A(x)-B(x)`

`M(x)=(2xy+6x-7y)-(3y+6xy-8x)`

`M(x)=2xy+6x-6y-3y-6xy+8x`

`M(x)=(2xy-6xy)+(6x+8x)-(6y+3y)`

`M(x)=-4xy+14x-9y`

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`N(x)=B(x)+A(x)`

`N(x)=(3y+6xy-8x)+(2xy+6x-7y)`

`N(x)=3y+6xy-8x+2xy+6x-7y`

`N(x)=(6xy+2xy)+(3y-7y)-(8x-6x)`

`N(x)=8xy-4y-2x`

Answer 2

\(M\left(x\right)=A\left(x\right)-B\left(x\right)\)

\(M\left(x\right)=2xy+6x-7y-3y-6xy+8x\)

\(M\left(x\right)=-4xy+14x-10y\)

\(N\left(x\right)=B\left(x\right)+A\left(x\right)\)

\(N\left(x\right)=3y+6xy-8x+2xy+6x-7y\)

\(N\left(x\right)=-4y+8xy-2x\)

Answer 3

A(x)-B(x)  = ( 2xy+6x-7y  ) - (3y+6xy-8x)

A(x)-B(x)  = −4xy+14x−10y

 

B(x)+A(x) = (3y+6xy-8x) +  ( 2xy+6x-7y  ) 

B(x)+A(x) = 8xy−2x−4y

Answer 4

M(x)=A(x)-B(x) = 2xy+6x-7y  - ( 3y+6xy-8x)

=  2xy + 6x-7y  - 3y - 6xy + 8x

= ( 2xy - 6xy ) + ( 6x + 8x ) + ( -7y - 3y )

= -4xy + 14x - 10y

N(x)=B(x)+A(x) = 2xy+6x-7y + 3y+6xy-8x

= (2xy + 6xy) + ( 6x - 8x) + ( -7y + 3y)

= 8xy - 2x - 4y