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marysya [2.9K]
3 years ago
13

An expression is shown below. Which expression is equivalent to the expression shown?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

To find:

The equivalent expression.

Solution:

We have,

-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)

Using distributive property, we get

=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)

=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y

On combining like terms, we get

=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)

=-2x^2+5y^2+xy+3x+9y

The expression -2x^2+5y^2+xy+3x+9y is equivalent to the given expression.

Therefore, the correct option is A.

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