Question

What is the product of 2x + y and 5x – y + 3?

Answer 1

hey friend!

here's your answer:

1) (2 x + y )( 5 x - y + 3 )

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

    10 x² - 2 xy + 6 x + 5 xy - y² + 3 y

     10 x² - y² - 2 xy + 5 xy + 6 x + 3 y

     10 x² - y² + 3 xy + 6x + 3y

i hope it will helps you

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Answer 2

Given,

The two expressions, (2x+y) and (5x-y+3).

To find,

The product of the given two expressions.

Solution,

The product of (2x+y) and (5x-y+3) will be 10x²-y²+6x+3y+3xy.

We can easily solve this problem by following the given steps.

According to the question,

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

We need to multiply each term in the first bracket with every term in the second bracket.

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

Multiplying 2x and y into (5x-y+3),

10x²-2xy+6x+5xy-y²+3y

Solving the terms with the same variables,

10x²-y²+6x+3y+3xy

Hence, the product of (2x+y) and (5x-y+3) is 10x²-y²+6x+3y+3xy.