Question

(5xy+2x-3y)(4y-x+2xy)-(8x-7y+6xy)(5y-1x+4xy)

Answer 1

Answer:

−14x2y2−27x2y+12xy2+6x2−36xy+23y2

Step-by-step explanation:

Let's simplify step-by-step.

(5xy+2x−3y)(4y−x+2xy)−(8x−7y+6xy)(5y−1x+4xy)

Distribute:

=(5xy)(4y)+(5xy)(−x)+(5xy)(2xy)+(2x)(4y)+(2x)(−x)+(2x)(2xy)+(−3y)(4y)+(−3y)(−x)+(−3y)(2xy)+−24x2y2+−26x2y+−2xy2+8x2+−47xy+35y2

=20xy2+−5x2y+10x2y2+8xy+−2x2+4x2y+−12y2+3xy+−6xy2+−24x2y2+−26x2y+−2xy2+8x2+−47xy+35y2

Combine Like Terms:

=20xy2+−5x2y+10x2y2+8xy+−2x2+4x2y+−12y2+3xy+−6xy2+−24x2y2+−26x2y+−2xy2+8x2+−47xy+35y2

=(10x2y2+−24x2y2)+(−5x2y+4x2y+−26x2y)+(20xy2+−6xy2+−2xy2)+(−2x2+8x2)+(8xy+3xy+−47xy)+(−12y2+35y2)

=−14x2y2+−27x2y+12xy2+6x2+−36xy+23y2

Answer:

=−14x2y2−27x2y+12xy2+6x2−36xy+23y2