Join the IDNLearn.com community and start getting the answers you need today. Join our interactive Q&A community and access a wealth of reliable answers to your most pressing questions.
Sagot :
Note: In option A, it should be "+" instead of "(".
Given:
The expression is
[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]
Using distributive property, we get
[tex]=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)[/tex]
[tex]=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y[/tex]
On combining like terms, we get
[tex]=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)[/tex]
[tex]=-2x^2+5y^2+xy+3x+9y[/tex]
The expression [tex]-2x^2+5y^2+xy+3x+9y[/tex] is equivalent to the given expression.
Therefore, the correct option is A.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.
