Question

Simplify:
(2x + 5y) ( 3x + 4y) - ( 7x + 3y ) ( 2x + y)

Answer 1

ur answer

hope it's helpful

Answer 2

Answer:

-8x² + 24xy + 17y²

Step-by-step explanation:

[(2x + 5y)(3x + 4y)] - [(7x + 3y)(2x + y)]

Step 1:

Multiply each term of the first bracket with the second bracket for each case

=2x(3x + 4y) + 5y(3x + 4y) - [7x(2x + y) + 3y(2x + y)]

Step 2:

Solve the brackets

=6x² + 8xy + 15xy + 20y² - [14x² + 7xy + 6xy + 3y²]

Step 3:

Open the bracket on the second part of the question by multiplying the minus sign with each term

=6x² + 8xy + 15xy + 20y² - 14x² - 7xy - 6xy - 3y²

Step 4:

Gather like terms

=6x² - 14x² + 8xy + 15xy - 6xy - 7xy + 20y² - 3y²

= -8x² + 24xy + 17y²

Same question as brainly.in/question/48860999