Question

Simplify:
(x+y) (2x-5y-7)-x (3x+5y)​

Answer 1

Answer:

−x2+−8xy+−5y2+−7x+−7y

Step-by-step explanation:

Let's simplify step-by-step.

(x+y)(2x−5y−7)−x(3x+5y)

Distribute:

=(x)(2x)+(x)(−5y)+(x)(−7)+(y)(2x)+(y)(−5y)+(y)(−7)+−3x2+−5xy

=2x2+−5xy+−7x+2xy+−5y2+−7y+−3x2+−5xy

Combine Like Terms:

=2x2+−5xy+−7x+2xy+−5y2+−7y+−3x2+−5xy

=(2x2+−3x2)+(−5xy+2xy+−5xy)+(−5y2)+(−7x)+(−7y)

=−x2+−8xy+−5y2+−7x+−7y

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